Simplify (-x^2-x)/(4x)-(2x)/x

$\frac{- x^{2} - x}{4 x} - \frac{2 x}{x}$

Simplify each term.

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

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

$\frac{x (- x) - x}{4 x} - \frac{2 x}{x}$

Factor $x$ out of $- x$ .

$\frac{x (- x) + x \cdot - 1}{4 x} - \frac{2 x}{x}$

Factor $x$ out of $x (- x) + x \cdot - 1$ .

$\frac{x (- x - 1)}{4 x} - \frac{2 x}{x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x (- x - 1)}{4 x} - \frac{2 x}{x}$

Rewrite the expression.

$\frac{- x - 1}{4} - \frac{2 x}{x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{- x - 1}{4} - \frac{2 x}{x}$

Divide $2$ by $1$ .

$\frac{- x - 1}{4} - 1 \cdot 2$

Multiply $- 1$ by $2$ .

$\frac{- x - 1}{4} - 2$

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{- x - 1}{4} - 2 \cdot \frac{4}{4}$

Simplify terms.

Combine $- 2$ and $\frac{4}{4}$ .

$\frac{- x - 1}{4} + \frac{- 2 \cdot 4}{4}$

Combine the numerators over the common denominator.

$\frac{- x - 1 - 2 \cdot 4}{4}$

Simplify the numerator.

Multiply $- 2$ by $4$ .

$\frac{- x - 1 - 8}{4}$

Subtract $8$ from $- 1$ .

$\frac{- x - 9}{4}$

Simplify with factoring out.

Factor $- 1$ out of $- x$ .

$\frac{- (x) - 9}{4}$

Rewrite $- 9$ as $- 1 (9)$ .

$\frac{- (x) - 1 (9)}{4}$

Factor $- 1$ out of $- (x) - 1 (9)$ .

$\frac{- (x + 9)}{4}$

Simplify the expression.

Rewrite $- (x + 9)$ as $- 1 (x + 9)$ .

$\frac{- 1 (x + 9)}{4}$

Move the negative in front of the fraction.

$- \frac{x + 9}{4}$