Simplify (-24-36x)/-16

$\frac{- 24 - 36 x}{- 16}$

Step 1

Cancel the common factor of $- 24 - 36 x$ and $- 16$ .

Factor $4$ out of $- 24$ .

$\frac{4 (- 6) - 36 x}{- 16}$

Factor $4$ out of $- 36 x$ .

$\frac{4 (- 6) + 4 (- 9 x)}{- 16}$

Factor $4$ out of $4 (- 6) + 4 (- 9 x)$ .

$\frac{4 (- 6 - 9 x)}{- 16}$

Cancel the common factors.

Factor $4$ out of $- 16$ .

$\frac{4 (- 6 - 9 x)}{4 \cdot - 4}$

Cancel the common factor.

$\frac{4 (- 6 - 9 x)}{4 \cdot - 4}$

Rewrite the expression.

$\frac{- 6 - 9 x}{- 4}$

$\frac{- 6 - 9 x}{- 4}$

$\frac{- 6 - 9 x}{- 4}$

Step 2

Factor $3$ out of $- 6 - 9 x$ .

Factor $3$ out of $- 6$ .

$\frac{3 (- 2) - 9 x}{- 4}$

Factor $3$ out of $- 9 x$ .

$\frac{3 (- 2) + 3 (- 3 x)}{- 4}$

Factor $3$ out of $3 (- 2) + 3 (- 3 x)$ .

$\frac{3 (- 2 - 3 x)}{- 4}$

$\frac{3 (- 2 - 3 x)}{- 4}$

Step 3

Move the negative in front of the fraction.

$- \frac{3 (- 2 - 3 x)}{4}$

Step 4

Rewrite $- 2$ as $- 1 (2)$ .

$- \frac{3 (- 1 (2) - 3 x)}{4}$

Step 5

Factor $- 1$ out of $- 3 x$ .

$- \frac{3 (- 1 (2) - (3 x))}{4}$

Step 6

Factor $- 1$ out of $- 1 (2) - (3 x)$ .

$- \frac{3 (- 1 (2 + 3 x))}{4}$

Step 7

Simplify the expression.

Move the negative in front of the fraction.

$- - \frac{3 (2 + 3 x)}{4}$

Multiply $- 1$ by $- 1$ .

$1 \frac{3 (2 + 3 x)}{4}$

Multiply $\frac{3 (2 + 3 x)}{4}$ by $1$ .

$\frac{3 (2 + 3 x)}{4}$

$\frac{3 (2 + 3 x)}{4}$

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