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

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

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

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

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

Factor $2 x$ out of $4 x$ .

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

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

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

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

Factor $2$ out of $- 2 x + 4$ .

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

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

Factor $2$ out of $4$ .

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

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

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

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Cancel the common factor of $- x + 2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

$x$

$x$

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