Simplify (3x)/(6x^2-15x)

$\frac{3 x}{6 x^{2} - 15 x}$

Step 1

Factor $3 x$ out of $6 x^{2} - 15 x$ .

Factor $3 x$ out of $6 x^{2}$ .

$\frac{3 x}{3 x (2 x) - 15 x}$

Factor $3 x$ out of $- 15 x$ .

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

Factor $3 x$ out of $3 x (2 x) + 3 x (- 5)$ .

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

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

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 3

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{2 x - 5}$

$\frac{1}{2 x - 5}$

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