Divide (10x^2+5x)/(5x)

$\frac{10 x^{2} + 5 x}{5 x}$

Step 1

Factor $5 x$ out of $10 x^{2} + 5 x$ .

Factor $5 x$ out of $10 x^{2}$ .

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

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

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

Factor $5 x$ out of $5 x (2 x) + 5 x (1)$ .

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

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

Step 2

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{x (2 x + 1)}{x}$

$\frac{x (2 x + 1)}{x}$

Step 3

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x (2 x + 1)}{x}$

Divide $2 x + 1$ by $1$ .

$2 x + 1$

$2 x + 1$

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