Simplify (2x^2+10x)/(3x^2+15x)

$\frac{2 x^{2} + 10 x}{3 x^{2} + 15 x}$

Step 1

Factor $2 x$ out of $2 x^{2} + 10 x$ .

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

$\frac{2 x (x) + 10 x}{3 x^{2} + 15 x}$

Factor $2 x$ out of $10 x$ .

$\frac{2 x (x) + 2 x (5)}{3 x^{2} + 15 x}$

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

$\frac{2 x (x + 5)}{3 x^{2} + 15 x}$

$\frac{2 x (x + 5)}{3 x^{2} + 15 x}$

Step 2

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

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

$\frac{2 x (x + 5)}{3 x (x) + 15 x}$

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

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

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

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

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

Step 3

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 4

Cancel the common factor of $x + 5$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{2}{3}$

$\frac{2}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$

Related Questions