Solve x+xdiv4x

$$x+x \div 4x$$

Evaluate

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

Short Solution Steps

Express \frac{x}{4}x as a single fraction.

$$x+\frac{xx}{4}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{4}{4}.

$$\frac{4x}{4}+\frac{xx}{4}$$

Since \frac{4x}{4} and \frac{xx}{4} have the same denominator, add them by adding their numerators.

$$\frac{4x+xx}{4}$$

Do the multiplications in 4x+xx.

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

Factor

$$\frac{x\left(x+4\right)}{4}$$

Solution Steps

Factor out \frac{1}{4}.

$$\frac{4x+xx}{4}$$

Consider 4x+x^{2}. Factor out x.

$$x\left(4+x\right)$$

Rewrite the complete factored expression.

$$\frac{x\left(x+4\right)}{4}$$