Simplify (8x^2-24x)/(-4x)

$\frac{8 x^{2} - 24 x}{- 4 x}$

Step 1

Factor $8 x$ out of $8 x^{2} - 24 x$ .

Factor $8 x$ out of $8 x^{2}$ .

$\frac{8 x (x) - 24 x}{- 4 x}$

Factor $8 x$ out of $- 24 x$ .

$\frac{8 x (x) + 8 x (- 3)}{- 4 x}$

Factor $8 x$ out of $8 x (x) + 8 x (- 3)$ .

$\frac{8 x (x - 3)}{- 4 x}$

Step 2

Cancel the common factor of $8$ and $- 4$ .

Factor $4$ out of $8 x (x - 3)$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

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

Move the negative one from the denominator of $\frac{2 (x - 3)}{- 1}$ .

$- 1 \cdot (2 (x - 3))$

Step 4

Rewrite $- 1 \cdot (2 (x - 3))$ as $- (2 (x - 3))$ .

$- (2 (x - 3))$

Step 5

Apply the distributive property.

$- (2 x + 2 \cdot - 3)$

Step 6

Multiply $2$ by $- 3$ .

$- (2 x - 6)$

Step 7

Apply the distributive property.

$- (2 x) - - 6$

Step 8

Multiply.

Multiply $2$ by $- 1$ .

$- 2 x - - 6$

Multiply $- 1$ by $- 6$ .

$- 2 x + 6$

Simplify (8x^2-24x)/(-4x)

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