Simplify (12x)/(4x^2-18x)

$\frac{12 x}{4 x^{2} - 18 x}$

Step 1

Factor $2 x$ out of $4 x^{2} - 18 x$ .

Factor $2 x$ out of $4 x^{2}$ .

$\frac{12 x}{2 x (2 x) - 18 x}$

Factor $2 x$ out of $- 18 x$ .

$\frac{12 x}{2 x (2 x) + 2 x (- 9)}$

Factor $2 x$ out of $2 x (2 x) + 2 x (- 9)$ .

$\frac{12 x}{2 x (2 x - 9)}$

$\frac{12 x}{2 x (2 x - 9)}$

Step 2

Cancel the common factor of $12$ and $2$ .

Factor $2$ out of $12 x$ .

$\frac{2 (6 x)}{2 x (2 x - 9)}$

Cancel the common factors.

Factor $2$ out of $2 x (2 x - 9)$ .

$\frac{2 (6 x)}{2 (x (2 x - 9))}$

Cancel the common factor.

$\frac{2 (6 x)}{2 (x (2 x - 9))}$

Rewrite the expression.

$\frac{6 x}{x (2 x - 9)}$

$\frac{6 x}{x (2 x - 9)}$

$\frac{6 x}{x (2 x - 9)}$

Step 3

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{6 x}{x (2 x - 9)}$

Rewrite the expression.

$\frac{6}{2 x - 9}$

$\frac{6}{2 x - 9}$

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