Simplify (4x^2)/(20x^2-12x)

$\frac{4 x^{2}}{20 x^{2} - 12 x}$

Step 1

Factor $4 x$ out of $20 x^{2} - 12 x$ .

Factor $4 x$ out of $20 x^{2}$ .

$\frac{4 x^{2}}{4 x (5 x) - 12 x}$

Factor $4 x$ out of $- 12 x$ .

$\frac{4 x^{2}}{4 x (5 x) + 4 x (- 3)}$

Factor $4 x$ out of $4 x (5 x) + 4 x (- 3)$ .

$\frac{4 x^{2}}{4 x (5 x - 3)}$

$\frac{4 x^{2}}{4 x (5 x - 3)}$

Step 2

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x^{2}}{4 x (5 x - 3)}$

Rewrite the expression.

$\frac{x^{2}}{x (5 x - 3)}$

$\frac{x^{2}}{x (5 x - 3)}$

Step 3

Cancel the common factor of $x^{2}$ and $x$ .

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

$\frac{x \cdot x}{x (5 x - 3)}$

Cancel the common factors.

Cancel the common factor.

$\frac{x \cdot x}{x (5 x - 3)}$

Rewrite the expression.

$\frac{x}{5 x - 3}$

$\frac{x}{5 x - 3}$

$\frac{x}{5 x - 3}$

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