Simplify (-14x^3)/(x^3-5x^4)

$\frac{- 14 x^{3}}{x^{3} - 5 x^{4}}$

Step 1

Factor $x^{3}$ out of $x^{3} - 5 x^{4}$ .

Multiply by $1$ .

$\frac{- 14 x^{3}}{x^{3} \cdot 1 - 5 x^{4}}$

Factor $x^{3}$ out of $- 5 x^{4}$ .

$\frac{- 14 x^{3}}{x^{3} \cdot 1 + x^{3} (- 5 x)}$

Factor $x^{3}$ out of $x^{3} \cdot 1 + x^{3} (- 5 x)$ .

$\frac{- 14 x^{3}}{x^{3} (1 - 5 x)}$

Step 2

Cancel the common factor of $x^{3}$ .

Cancel the common factor.

$\frac{- 14 x^{3}}{x^{3} (1 - 5 x)}$

Rewrite the expression.

$\frac{- 14}{1 - 5 x}$

Step 3

Move the negative in front of the fraction.

$- \frac{14}{1 - 5 x}$