Solve 2x^2-9x-5/4x^3+2x^2quad(2x

$$\frac { 2 x ^ { 2 } - 9 x - 5 } { 4 x ^ { 3 } + 2 x ^ { 2 } } \quad ( 2 x$$

Evaluate

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

Short Solution Steps

Factor the expressions that are not already factored in \frac{2x^{2}-9x-5}{4x^{3}+2x^{2}}.

$$\frac{\left(x-5\right)\left(2x+1\right)}{2\left(2x+1\right)x^{2}}\times 2x$$

Cancel out 2x+1 in both numerator and denominator.

$$\frac{x-5}{2x^{2}}\times 2x$$

Express \frac{x-5}{2x^{2}}\times 2 as a single fraction.

$$\frac{\left(x-5\right)\times 2}{2x^{2}}x$$

Cancel out 2 in both numerator and denominator.

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

Express \frac{x-5}{x^{2}}x as a single fraction.

$$\frac{\left(x-5\right)x}{x^{2}}$$

Cancel out x in both numerator and denominator.

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

Expand

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

Short Solution Steps

Factor the expressions that are not already factored in \frac{2x^{2}-9x-5}{4x^{3}+2x^{2}}.

$$\frac{\left(x-5\right)\left(2x+1\right)}{2\left(2x+1\right)x^{2}}\times 2x$$

Cancel out 2x+1 in both numerator and denominator.

$$\frac{x-5}{2x^{2}}\times 2x$$

Express \frac{x-5}{2x^{2}}\times 2 as a single fraction.

$$\frac{\left(x-5\right)\times 2}{2x^{2}}x$$

Cancel out 2 in both numerator and denominator.

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

Express \frac{x-5}{x^{2}}x as a single fraction.

$$\frac{\left(x-5\right)x}{x^{2}}$$

Cancel out x in both numerator and denominator.

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