Algebra Examples

$16 (4 - 3 m) = 96 (- \frac{m}{2} + 1)$

Step 1

Simplify $16 (4 - 3 m)$ .

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Step 1.1

Rewrite.

$0 + 0 + 16 (4 - 3 m) = 96 (- \frac{m}{2} + 1)$

Step 1.2

Simplify by adding zeros.

$16 (4 - 3 m) = 96 (- \frac{m}{2} + 1)$

Step 1.3

Apply the distributive property.

$16 \cdot 4 + 16 (- 3 m) = 96 (- \frac{m}{2} + 1)$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $16$ by $4$ .

$64 + 16 (- 3 m) = 96 (- \frac{m}{2} + 1)$

Step 1.4.2

Multiply $- 3$ by $16$ .

$64 - 48 m = 96 (- \frac{m}{2} + 1)$

Step 2

Simplify $96 (- \frac{m}{2} + 1)$ .

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Step 2.1

Apply the distributive property.

$64 - 48 m = 96 (- \frac{m}{2}) + 96 \cdot 1$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

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

$64 - 48 m = 96 \frac{- m}{2} + 96 \cdot 1$

Step 2.2.2

Factor $2$ out of $96$ .

$64 - 48 m = 2 (48) \frac{- m}{2} + 96 \cdot 1$

Step 2.2.3

Cancel the common factor.

$64 - 48 m = 2 \cdot 48 \frac{- m}{2} + 96 \cdot 1$

Step 2.2.4

Rewrite the expression.

$64 - 48 m = 48 (- m) + 96 \cdot 1$

Step 2.3

Multiply.

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Step 2.3.1

Multiply $- 1$ by $48$ .

$64 - 48 m = - 48 m + 96 \cdot 1$

Step 2.3.2

Multiply $96$ by $1$ .

$64 - 48 m = - 48 m + 96$

Step 3

Move all terms containing $m$ to the left side of the equation.

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Step 3.1

Add $48 m$ to both sides of the equation.

$64 - 48 m + 48 m = 96$

Step 3.2

Combine the opposite terms in $64 - 48 m + 48 m$ .

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Step 3.2.1

Add $- 48 m$ and $48 m$ .

$64 + 0 = 96$

Step 3.2.2

Add $64$ and $0$ .

$64 = 96$

Step 4

Since $64 \neq 96$ , there are no solutions.

No solution