Precalculus Examples

$8 kN B + (2 kN) (1.4 m) = 0$ , $(18 kN) A + (- 38 kN) B = 0$

Step 1

Solve the equation for $U$ .

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Step 1.1

Rewrite using the commutative property of multiplication.

$8 kN B + 1.4 (2 kN) m = 0$

$(18 kN) A + (- 38 kN) B = 0$

Step 1.2

Subtract $1.4 (2 kN) m$ from both sides of the equation.

$8 kN B = - 1.4 (2 kN) m$

$(18 kN) A + (- 38 kN) B = 0$

Step 1.3

Divide each term in $8 kN B = - 1.4 (2 kN) m$ by $B$ and simplify.

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Step 1.3.1

Divide each term in $8 kN B = - 1.4 (2 kN) m$ by $B$ .

$\frac{8 kN B}{B} = \frac{- 1.4 (2 kN) m}{B}$

$(18 kN) A + (- 38 kN) B = 0$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $B$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{8 kN B}{B} = \frac{- 1.4 (2 kN) m}{B}$

$(18 kN) A + (- 38 kN) B = 0$

Step 1.3.2.1.2

Divide $8 kN$ by $1$ .

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$(18 kN) A + (- 38 kN) B = 0$

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$(18 kN) A + (- 38 kN) B = 0$

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$(18 kN) A + (- 38 kN) B = 0$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Move the negative in front of the fraction.

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$(18 kN) A + (- 38 kN) B = 0$

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$(18 kN) A + (- 38 kN) B = 0$

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$(18 kN) A + (- 38 kN) B = 0$

Step 1.4

Simplify $8 kN = - \frac{1.4 (2 kN) m}{B}$ .

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Step 1.4.1

Multiply $1.4$ by $2$ .

$8 kN = - \frac{2.8 kN m}{B}$

$(18 kN) A + (- 38 kN) B = 0$

Step 1.4.2

Rewrite the expression.

$8 kN = - \frac{2.8 m}{B} kN$

$(18 kN) A + (- 38 kN) B = 0$

$8 kN = - \frac{2.8 m}{B} kN$

$(18 kN) A + (- 38 kN) B = 0$

$8 kN = - \frac{2.8 m}{B} kN$

$(18 kN) A + (- 38 kN) B = 0$

Step 2

Solve the equation for $N$ .

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Step 2.1

Subtract $- 38 kN B$ from both sides of the equation.

$18 kN A = 38 kN B$

$8 kN = - \frac{2.8 m}{B} kN$

Step 2.2

Divide each term in $18 kN A = - (- 38 kN) B$ by $A$ and simplify.

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Step 2.2.1

Divide each term in $18 kN A = - (- 38 kN) B$ by $A$ .

$\frac{18 kN A}{A} = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $A$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{18 kN A}{A} = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 2.2.2.1.2

Divide $18 kN$ by $1$ .

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Move the negative in front of the fraction.

$18 kN = - \frac{- 38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = - \frac{- 38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = - \frac{- 38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 2.3

Simplify $18 kN = - \frac{- 38 kN B}{A}$ .

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Step 2.3.1

Move the negative in front of the fraction.

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 2.3.2

Combine fractions.

$18 kN = \frac{38 B}{A} kN$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 B}{A} kN$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 B}{A} kN$

$8 kN = - \frac{2.8 m}{B} kN$

Step 3

Solve the equation for $I$ .

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Step 3.1

Rewrite using the commutative property of multiplication.

$8 kN B + 1.4 (2 kN) m = 0$

$8 kN = - \frac{2.8 m}{B} kN$

Step 3.2

Subtract $1.4 (2 kN) m$ from both sides of the equation.

$8 kN B = - 1.4 (2 kN) m$

$8 kN = - \frac{2.8 m}{B} kN$

Step 3.3

Divide each term in $8 kN B = - 1.4 (2 kN) m$ by $B$ and simplify.

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Step 3.3.1

Divide each term in $8 kN B = - 1.4 (2 kN) m$ by $B$ .

$\frac{8 kN B}{B} = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Cancel the common factor of $B$ .

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Step 3.3.2.1.1

Cancel the common factor.

$\frac{8 kN B}{B} = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 3.3.2.1.2

Divide $8 kN$ by $1$ .

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Move the negative in front of the fraction.

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 3.4

Simplify $8 kN = - \frac{1.4 (2 kN) m}{B}$ .

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Step 3.4.1

Multiply $1.4$ by $2$ .

$8 kN = - \frac{2.8 kN m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 3.4.2

Rewrite the expression.

$8 kN = - \frac{2.8 m}{B} kN$

Step 4

Solve the equation for $T$ .

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Step 4.1

Subtract $- 38 kN B$ from both sides of the equation.

$18 kN A = 38 kN B$

$8 kN = - \frac{2.8 m}{B} kN$

Step 4.2

Divide each term in $18 kN A = - (- 38 kN) B$ by $A$ and simplify.

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Step 4.2.1

Divide each term in $18 kN A = - (- 38 kN) B$ by $A$ .

$\frac{18 kN A}{A} = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Cancel the common factor of $A$ .

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Step 4.2.2.1.1

Cancel the common factor.

$\frac{18 kN A}{A} = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 4.2.2.1.2

Divide $18 kN$ by $1$ .

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 4.2.3

Simplify the right side.

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Step 4.2.3.1

Move the negative in front of the fraction.

$18 kN = - \frac{- 38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = - \frac{- 38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = - \frac{- 38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 4.3

Simplify $18 kN = - \frac{- 38 kN B}{A}$ .

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Step 4.3.1

Move the negative in front of the fraction.

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 4.3.2

Combine fractions.

$18 kN = \frac{38 B}{A} kN$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 B}{A} kN$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 B}{A} kN$

$8 kN = - \frac{2.8 m}{B} kN$

Step 5

Solve the equation for $k$ .

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Step 5.1

Rewrite using the commutative property of multiplication.

$8 kN B + 1.4 (2 kN) m = 0$

$8 kN = - \frac{2.8 m}{B} kN$

Step 5.2

Subtract $1.4 (2 kN) m$ from both sides of the equation.

$8 kN B = - 1.4 (2 kN) m$

$8 kN = - \frac{2.8 m}{B} kN$

Step 5.3

Divide each term in $8 kN B = - 1.4 (2 kN) m$ by $B$ and simplify.

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Step 5.3.1

Divide each term in $8 kN B = - 1.4 (2 kN) m$ by $B$ .

$\frac{8 kN B}{B} = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 5.3.2

Simplify the left side.

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Step 5.3.2.1

Cancel the common factor of $B$ .

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Step 5.3.2.1.1

Cancel the common factor.

$\frac{8 kN B}{B} = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 5.3.2.1.2

Divide $8 kN$ by $1$ .

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 5.3.3

Simplify the right side.

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Step 5.3.3.1

Move the negative in front of the fraction.

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 5.4

Simplify $8 kN = - \frac{1.4 (2 kN) m}{B}$ .

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Step 5.4.1

Multiply $1.4$ by $2$ .

$8 kN = - \frac{2.8 kN m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 5.4.2

Rewrite the expression.

$8 kN = - \frac{2.8 m}{B} kN$

Step 6

Solve the equation for $u$ .

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Step 6.1

Subtract $- 38 kN B$ from both sides of the equation.

$18 kN A = 38 kN B$

$8 kN = - \frac{2.8 m}{B} kN$

Step 6.2

Divide each term in $18 kN A = - (- 38 kN) B$ by $A$ and simplify.

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Step 6.2.1

Divide each term in $18 kN A = - (- 38 kN) B$ by $A$ .

$\frac{18 kN A}{A} = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 6.2.2

Simplify the left side.

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Step 6.2.2.1

Cancel the common factor of $A$ .

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Step 6.2.2.1.1

Cancel the common factor.

$\frac{18 kN A}{A} = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 6.2.2.1.2

Divide $18 kN$ by $1$ .

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 6.2.3

Simplify the right side.

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Step 6.2.3.1

Move the negative in front of the fraction.

$18 kN = - \frac{- 38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = - \frac{- 38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = - \frac{- 38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 6.3

Simplify $18 kN = - \frac{- 38 kN B}{A}$ .

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Step 6.3.1

Move the negative in front of the fraction.

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 6.3.2

Combine fractions.

$18 kN = \frac{38 B}{A} kN$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 B}{A} kN$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 B}{A} kN$

$8 kN = - \frac{2.8 m}{B} kN$

Step 7

Solve the equation for $n$ .

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Step 7.1

Rewrite using the commutative property of multiplication.

$8 kN B + 1.4 (2 kN) m = 0$

$8 kN = - \frac{2.8 m}{B} kN$

Step 7.2

Subtract $1.4 (2 kN) m$ from both sides of the equation.

$8 kN B = - 1.4 (2 kN) m$

$8 kN = - \frac{2.8 m}{B} kN$

Step 7.3

Divide each term in $8 kN B = - 1.4 (2 kN) m$ by $B$ and simplify.

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Step 7.3.1

Divide each term in $8 kN B = - 1.4 (2 kN) m$ by $B$ .

$\frac{8 kN B}{B} = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 7.3.2

Simplify the left side.

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Step 7.3.2.1

Cancel the common factor of $B$ .

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Step 7.3.2.1.1

Cancel the common factor.

$\frac{8 kN B}{B} = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 7.3.2.1.2

Divide $8 kN$ by $1$ .

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 7.3.3

Simplify the right side.

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Step 7.3.3.1

Move the negative in front of the fraction.

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 7.4

Simplify $8 kN = - \frac{1.4 (2 kN) m}{B}$ .

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Step 7.4.1

Multiply $1.4$ by $2$ .

$8 kN = - \frac{2.8 kN m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 7.4.2

Rewrite the expression.

$8 kN = - \frac{2.8 m}{B} kN$

Step 8

Solve the equation for $i$ .

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Step 8.1

Subtract $- 38 kN B$ from both sides of the equation.

$18 kN A = 38 kN B$

$8 kN = - \frac{2.8 m}{B} kN$

Step 8.2

Divide each term in $18 kN A = - (- 38 kN) B$ by $A$ and simplify.

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Step 8.2.1

Divide each term in $18 kN A = - (- 38 kN) B$ by $A$ .

$\frac{18 kN A}{A} = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 8.2.2

Simplify the left side.

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Step 8.2.2.1

Cancel the common factor of $A$ .

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Step 8.2.2.1.1

Cancel the common factor.

$\frac{18 kN A}{A} = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 8.2.2.1.2

Divide $18 kN$ by $1$ .

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 8.2.3

Simplify the right side.

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Step 8.2.3.1

Move the negative in front of the fraction.

$18 kN = - \frac{- 38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = - \frac{- 38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = - \frac{- 38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 8.3

Simplify $18 kN = - \frac{- 38 kN B}{A}$ .

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Step 8.3.1

Move the negative in front of the fraction.

$18 kN = \frac{38 kN B}{A}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 8.3.2

Combine fractions.

$18 kN = \frac{38 B}{A} kN$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 B}{A} kN$

$8 kN = - \frac{2.8 m}{B} kN$

$18 kN = \frac{38 B}{A} kN$

$8 kN = - \frac{2.8 m}{B} kN$

Step 9

Solve the equation for $t$ .

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Step 9.1

Rewrite using the commutative property of multiplication.

$8 kN B + 1.4 (2 kN) m = 0$

$8 kN = - \frac{2.8 m}{B} kN$

Step 9.2

Subtract $1.4 (2 kN) m$ from both sides of the equation.

$8 kN B = - 1.4 (2 kN) m$

$8 kN = - \frac{2.8 m}{B} kN$

Step 9.3

Divide each term in $8 kN B = - 1.4 (2 kN) m$ by $B$ and simplify.

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Step 9.3.1

Divide each term in $8 kN B = - 1.4 (2 kN) m$ by $B$ .

$\frac{8 kN B}{B} = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 9.3.2

Simplify the left side.

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Step 9.3.2.1

Cancel the common factor of $B$ .

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Step 9.3.2.1.1

Cancel the common factor.

$\frac{8 kN B}{B} = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 9.3.2.1.2

Divide $8 kN$ by $1$ .

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = \frac{- 1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 9.3.3

Simplify the right side.

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Step 9.3.3.1

Move the negative in front of the fraction.

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

$8 kN = - \frac{1.4 (2 kN) m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 9.4

Simplify $8 kN = - \frac{1.4 (2 kN) m}{B}$ .

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Step 9.4.1

Multiply $1.4$ by $2$ .

$8 kN = - \frac{2.8 kN m}{B}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 9.4.2

Rewrite the expression.

$8 kN = - \frac{2.8 m}{B} kN$

Step 10

Solve the equation for $B$ .

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Step 10.1

Subtract $18 kN A$ from both sides of the equation.

$- 38 kN B = - 18 kN A$

$8 kN = - \frac{2.8 m}{B} kN$

Step 10.2

Divide each term in $- 38 kN B = - (18 kN) A$ by $- 38 kN$ and simplify.

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Step 10.2.1

Divide each term in $- 38 kN B = - (18 kN) A$ by $- 38 kN$ .

$\frac{- 38 kN B}{- 38 kN} = \frac{- 18 kN A}{- 38 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 10.2.2

Simplify the left side.

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Step 10.2.2.1

Cancel the common factor of $- 38 kN$ .

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Step 10.2.2.1.1

Cancel the common factor.

$\frac{- 38 kN B}{- 38 kN} = \frac{- 18 kN A}{- 38 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 10.2.2.1.2

Divide $B$ by $1$ .

$B = \frac{- 18 kN A}{- 38 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

$B = \frac{- 18 kN A}{- 38 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

$B = \frac{- 18 kN A}{- 38 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 10.2.3

Simplify the right side.

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Step 10.2.3.1

Move the negative in front of the fraction.

$B = - \frac{18 kN A}{- 38 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

$B = - \frac{18 kN A}{- 38 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

$B = - \frac{18 kN A}{- 38 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 10.3

Simplify $B = - \frac{18 kN A}{- 38 kN}$ .

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Step 10.3.1

Cancel the common factor of $18$ and $- 38$ .

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Step 10.3.1.1

Factor $2$ out of $18 kN A$ .

$B = - \frac{2 (9 kN A)}{- 38 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 10.3.1.2

Cancel the common factors.

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Step 10.3.1.2.1

Factor $2$ out of $- 38 kN$ .

$B = - \frac{2 (9 kN A)}{2 (- 19 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 10.3.1.2.2

Cancel the common factor.

$B = - \frac{2 (9 kN A)}{2 (- 19 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 10.3.1.2.3

Rewrite the expression.

$B = - \frac{9 kN A}{- 19 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

$B = - \frac{9 kN A}{- 19 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

$B = - \frac{9 kN A}{- 19 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 10.3.2

Cancel $kN$ .

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Step 10.3.2.1

Cancel $kN$ .

$B = - \frac{9 kN A}{- 19 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 10.3.2.2

Rewrite the expression.

$B = - \frac{9 A}{- 19}$

$8 kN = - \frac{2.8 m}{B} kN$

$B = - \frac{9 A}{- 19}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 10.3.3

Move the negative in front of the fraction.

$B = \frac{9 A}{19}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 10.3.4

Multiply $- - \frac{9 A}{19}$ .

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Step 10.3.4.1

Multiply $- 1$ by $- 1$ .

$B = 1 (\frac{9 A}{19})$

$8 kN = - \frac{2.8 m}{B} kN$

Step 10.3.4.2

Multiply $\frac{9 A}{19}$ by $1$ .

$B = \frac{9 A}{19}$

$8 kN = - \frac{2.8 m}{B} kN$

$B = \frac{9 A}{19}$

$8 kN = - \frac{2.8 m}{B} kN$

$B = \frac{9 A}{19}$

$8 kN = - \frac{2.8 m}{B} kN$

$B = \frac{9 A}{19}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11

Solve the equation for $m$ .

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Step 11.1

Simplify each term.

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Step 11.1.1

Combine $8 kN$ and $\frac{9 A}{19}$ .

$\frac{8 kN (9 A)}{19} + 2 kN \cdot (1.4 m) = 0$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.1.2

Move $9$ to the left of $8 kN$ .

$\frac{9 \cdot (8 kN A)}{19} + 2 kN \cdot (1.4 m) = 0$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.1.3

Rewrite using the commutative property of multiplication.

$\frac{9 (8 kN) A}{19} + 1.4 (2 kN) m = 0$

$8 kN = - \frac{2.8 m}{B} kN$

$\frac{9 (8 kN) A}{19} + 1.4 (2 kN) m = 0$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.2

Subtract $\frac{9 (8 kN) A}{19}$ from both sides of the equation.

$1.4 (2 kN) m = - \frac{9 (8 kN) A}{19}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3

Divide each term in $1.4 (2 kN) m = - \frac{9 (8 kN) A}{19}$ by $1.4 (2 kN)$ and simplify.

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Step 11.3.1

Divide each term in $1.4 (2 kN) m = - \frac{9 (8 kN) A}{19}$ by $1.4 (2 kN)$ .

$\frac{1.4 (2 kN) m}{1.4 (2 kN)} = \frac{- \frac{9 (8 kN) A}{19}}{1.4 (2 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.2

Simplify the left side.

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Step 11.3.2.1

Cancel the common factor of $1.4$ .

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Step 11.3.2.1.1

Cancel the common factor.

$\frac{1.4 (2 kN) m}{1.4 (2 kN)} = \frac{- \frac{9 (8 kN) A}{19}}{1.4 (2 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.2.1.2

Rewrite the expression.

$\frac{2 kN m}{2 kN} = \frac{- \frac{9 (8 kN) A}{19}}{1.4 (2 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

$\frac{2 kN m}{2 kN} = \frac{- \frac{9 (8 kN) A}{19}}{1.4 (2 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.2.2

Cancel the common factor of $2 kN$ .

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Step 11.3.2.2.1

Cancel the common factor.

$\frac{2 kN m}{2 kN} = \frac{- \frac{9 (8 kN) A}{19}}{1.4 (2 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.2.2.2

Divide $m$ by $1$ .

$m = \frac{- \frac{9 (8 kN) A}{19}}{1.4 (2 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

$m = \frac{- \frac{9 (8 kN) A}{19}}{1.4 (2 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

$m = \frac{- \frac{9 (8 kN) A}{19}}{1.4 (2 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3

Simplify the right side.

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Step 11.3.3.1

Multiply the numerator by the reciprocal of the denominator.

$m = - \frac{9 (8 kN) A}{19} \cdot \frac{1}{1.4 (2 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3.2

Rewrite $1$ as $1 (1)$ .

$m = - \frac{9 (8 kN) A}{19} \cdot \frac{1 (1)}{1.4 (2 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3.3

Factor $1.4$ out of $1.4 (2 kN)$ .

$m = - \frac{9 (8 kN) A}{19} \cdot \frac{1 (1)}{1.4 (2 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3.4

Separate fractions.

$m = - \frac{9 (8 kN) A}{19} \cdot (\frac{1}{1.4} \cdot \frac{1}{2 kN})$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3.5

Divide $1$ by $1.4$ .

$m = - \frac{9 (8 kN) A}{19} \cdot (0.\overline{714285} (\frac{1}{2 kN}))$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3.6

Combine $0.\overline{714285}$ and $\frac{1}{2 kN}$ .

$m = - \frac{9 (8 kN) A}{19} \cdot \frac{0.\overline{714285}}{2 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3.7

Multiply $- \frac{9 (8 kN) A}{19} \cdot \frac{0.\overline{714285}}{2 kN}$ .

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Step 11.3.3.7.1

Multiply $\frac{0.\overline{714285}}{2 kN}$ by $\frac{9 (8 kN) A}{19}$ .

$m = - \frac{0.\overline{714285} (9 (8 kN) A)}{2 kN \cdot 19}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3.7.2

Multiply $9$ by $0.\overline{714285}$ .

$m = - \frac{6.\overline{428571} (8 kN A)}{2 kN \cdot 19}$

$8 kN = - \frac{2.8 m}{B} kN$

$m = - \frac{6.\overline{428571} (8 kN A)}{2 kN \cdot 19}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3.8

Move $19$ to the left of $2 kN$ .

$m = - \frac{6.\overline{428571} (8 kN) A}{19 \cdot 2 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3.9

Factor $6.\overline{428571}$ out of $6.\overline{428571} (8 kN) A$ .

$m = - \frac{6.\overline{428571} (8 kN A)}{19 \cdot 2 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3.10

Factor $19$ out of $19 \cdot 2 kN$ .

$m = - \frac{6.\overline{428571} (8 kN A)}{19 (2 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3.11

Separate fractions.

$m = - (\frac{6.\overline{428571}}{19} \cdot \frac{8 kN A}{2 kN})$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3.12

Divide $6.\overline{428571}$ by $19$ .

$m = - (0.33834586 (\frac{8 kN A}{2 kN}))$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.3.3.13

Combine $0.33834586$ and $\frac{8 kN A}{2 kN}$ .

$m = - \frac{0.33834586 (8 kN) A}{2 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

$m = - \frac{0.33834586 (8 kN) A}{2 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

$m = - \frac{0.33834586 (8 kN) A}{2 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.4

Simplify $m = - \frac{0.33834586 (8 kN) A}{2 kN}$ .

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Step 11.4.1

Cancel the common factor of $8$ and $2$ .

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Step 11.4.1.1

Factor $2$ out of $0.33834586 (8 kN) A$ .

$m = - \frac{2 (0.16917293 (8 kN) A)}{2 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.4.1.2

Cancel the common factors.

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Step 11.4.1.2.1

Factor $2$ out of $2 kN$ .

$m = - \frac{2 (0.16917293 (8 kN) A)}{2 (1 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.4.1.2.2

Cancel the common factor.

$m = - \frac{2 (0.16917293 (8 kN) A)}{2 (1 kN)}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.4.1.2.3

Rewrite the expression.

$m = - \frac{0.16917293 (8 kN) A}{1 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

$m = - \frac{0.16917293 (8 kN) A}{1 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

$m = - \frac{0.16917293 (8 kN) A}{1 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.4.2

Cancel $kN$ .

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Step 11.4.2.1

Cancel $kN$ .

$m = - \frac{0.16917293 (8 kN) A}{1 kN}$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.4.2.2

Divide $0.16917293 \cdot (8) A$ by $1$ .

$m = - (0.16917293 \cdot ((8) A))$

$8 kN = - \frac{2.8 m}{B} kN$

$m = - (0.16917293 \cdot ((8) A))$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.4.3

Multiply $0.16917293$ by $8$ .

$m = - (1.35338345 A)$

$8 kN = - \frac{2.8 m}{B} kN$

Step 11.4.4

Multiply $1.35338345$ by $- 1$ .

$m = - 1.35338345 A$

$8 kN = - \frac{2.8 m}{B} kN$

$m = - 1.35338345 A$

$8 kN = - \frac{2.8 m}{B} kN$

$m = - 1.35338345 A$

$8 kN = - \frac{2.8 m}{B} kN$