Solve x^2/10-3x

$$\frac{ { x }^{ 2 } }{ 10 } -3x$$

Evaluate

$$\frac{x\left(x-30\right)}{10}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -3x times \frac{10}{10}.

$$\frac{x^{2}}{10}+\frac{10\left(-3\right)x}{10}$$

Since \frac{x^{2}}{10} and \frac{10\left(-3\right)x}{10} have the same denominator, add them by adding their numerators.

$$\frac{x^{2}+10\left(-3\right)x}{10}$$

Do the multiplications in x^{2}+10\left(-3\right)x.

$$\frac{x^{2}-30x}{10}$$

Factor

$$\frac{x\left(x-30\right)}{10}$$

Solution Steps

Factor out \frac{1}{10}.

$$\frac{x^{2}-30x}{10}$$

Consider x^{2}-30x. Factor out x.

$$x\left(x-30\right)$$

Rewrite the complete factored expression.

$$\frac{x\left(x-30\right)}{10}$$