Divide (3x^2+6x)/(2x)

$\frac{3 x^{2} + 6 x}{2 x}$

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

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

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

Factor $3 x$ out of $6 x$ .

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

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

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

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

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

Apply the distributive property.

$\frac{3 x + 3 \cdot 2}{2}$

Multiply $3$ by $2$ .

$\frac{3 x + 6}{2}$

Split the fraction $\frac{3 x + 6}{2}$ into two fractions.

$\frac{3 x}{2} + \frac{6}{2}$

Divide $6$ by $2$ .

$\frac{3 x}{2} + 3$