Basic Math Examples

$8 = - \frac{2}{5} c$

Step 1

Rewrite the equation as $- \frac{2}{5} c = 8$ .

$- \frac{2}{5} c = 8$

Step 2

Multiply both sides of the equation by $- \frac{5}{2}$ .

$- \frac{5}{2} (- \frac{2}{5} c) = - \frac{5}{2} \cdot 8$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $- \frac{5}{2} (- \frac{2}{5} c)$ .

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Step 3.1.1.1

Combine $c$ and $\frac{2}{5}$ .

$- \frac{5}{2} (- \frac{c \cdot 2}{5}) = - \frac{5}{2} \cdot 8$

Step 3.1.1.2

Cancel the common factor of $5$ .

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Step 3.1.1.2.1

Move the leading negative in $- \frac{5}{2}$ into the numerator.

$\frac{- 5}{2} (- \frac{c \cdot 2}{5}) = - \frac{5}{2} \cdot 8$

Step 3.1.1.2.2

Move the leading negative in $- \frac{c \cdot 2}{5}$ into the numerator.

$\frac{- 5}{2} \cdot \frac{- c \cdot 2}{5} = - \frac{5}{2} \cdot 8$

Step 3.1.1.2.3

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{2} \cdot \frac{- c \cdot 2}{5} = - \frac{5}{2} \cdot 8$

Step 3.1.1.2.4

Cancel the common factor.

$\frac{5 \cdot - 1}{2} \cdot \frac{- c \cdot 2}{5} = - \frac{5}{2} \cdot 8$

Step 3.1.1.2.5

Rewrite the expression.

$\frac{- 1}{2} (- c \cdot 2) = - \frac{5}{2} \cdot 8$

Step 3.1.1.3

Cancel the common factor of $2$ .

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Step 3.1.1.3.1

Factor $2$ out of $- c \cdot 2$ .

$\frac{- 1}{2} (2 \cdot (- c)) = - \frac{5}{2} \cdot 8$

Step 3.1.1.3.2

Cancel the common factor.

$\frac{- 1}{2} (2 \cdot (- c)) = - \frac{5}{2} \cdot 8$

Step 3.1.1.3.3

Rewrite the expression.

$- - c = - \frac{5}{2} \cdot 8$

Step 3.1.1.4

Multiply.

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Step 3.1.1.4.1

Multiply $- 1$ by $- 1$ .

$1 c = - \frac{5}{2} \cdot 8$

Step 3.1.1.4.2

Multiply $c$ by $1$ .

$c = - \frac{5}{2} \cdot 8$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $- \frac{5}{2} \cdot 8$ .

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Step 3.2.1.1

Cancel the common factor of $2$ .

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Step 3.2.1.1.1

Move the leading negative in $- \frac{5}{2}$ into the numerator.

$c = \frac{- 5}{2} \cdot 8$

Step 3.2.1.1.2

Factor $2$ out of $8$ .

$c = \frac{- 5}{2} \cdot (2 (4))$

Step 3.2.1.1.3

Cancel the common factor.

$c = \frac{- 5}{2} \cdot (2 \cdot 4)$

Step 3.2.1.1.4

Rewrite the expression.

$c = - 5 \cdot 4$

Step 3.2.1.2

Multiply $- 5$ by $4$ .

$c = - 20$