Simplify (5x-15x^2)/(2-6x)

$\frac{5 x - 15 x^{2}}{2 - 6 x}$

Factor $5 x$ out of $5 x - 15 x^{2}$ .

Factor $5 x$ out of $5 x$ .

$\frac{5 x (1) - 15 x^{2}}{2 - 6 x}$

Factor $5 x$ out of $- 15 x^{2}$ .

$\frac{5 x (1) + 5 x (- 3 x)}{2 - 6 x}$

Factor $5 x$ out of $5 x (1) + 5 x (- 3 x)$ .

$\frac{5 x (1 - 3 x)}{2 - 6 x}$

$\frac{5 x (1 - 3 x)}{2 - 6 x}$

Factor $2$ out of $2 - 6 x$ .

Factor $2$ out of $2$ .

$\frac{5 x (1 - 3 x)}{2 (1) - 6 x}$

Factor $2$ out of $- 6 x$ .

$\frac{5 x (1 - 3 x)}{2 (1) + 2 (- 3 x)}$

Factor $2$ out of $2 (1) + 2 (- 3 x)$ .

$\frac{5 x (1 - 3 x)}{2 (1 - 3 x)}$

$\frac{5 x (1 - 3 x)}{2 (1 - 3 x)}$

Cancel the common factor of $1 - 3 x$ .

Cancel the common factor.

$\frac{5 x (1 - 3 x)}{2 (1 - 3 x)}$

Rewrite the expression.

$\frac{5 x}{2}$

$\frac{5 x}{2}$

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