Solve -x^2/45+x

$$- \frac { x ^ { 2 } } { 45 } + x$$

Factor

$$\frac{x\left(45-x\right)}{45}$$

Solution Steps

Factor out \frac{1}{45}.

$$\frac{-x^{2}+45x}{45}$$

Consider -x^{2}+45x. Factor out x.

$$x\left(-x+45\right)$$

Rewrite the complete factored expression.

$$\frac{x\left(-x+45\right)}{45}$$

Evaluate

$$-\frac{x^{2}}{45}+x$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{45}{45}.

$$-\frac{x^{2}}{45}+\frac{45x}{45}$$

Since -\frac{x^{2}}{45} and \frac{45x}{45} have the same denominator, add them by adding their numerators.

$$\frac{-x^{2}+45x}{45}$$