Simplify (2x^2)/(3x^2-4x)

$\frac{2 x^{2}}{3 x^{2} - 4 x}$

Step 1

Factor $x$ out of $3 x^{2} - 4 x$ .

Factor $x$ out of $3 x^{2}$ .

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

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

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

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

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

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

Step 2

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

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

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

Cancel the common factors.

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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