Solve 5x/1+4x^2/3

$$\frac{ 5x }{ 1 } + \frac{ 4 { x }^{ 2 } }{ 3 }$$

Evaluate

$$\frac{x\left(4x+15\right)}{3}$$

Short Solution Steps

Anything divided by one gives itself.

$$5x+\frac{4x^{2}}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 5x times \frac{3}{3}.

$$\frac{3\times 5x}{3}+\frac{4x^{2}}{3}$$

Since \frac{3\times 5x}{3} and \frac{4x^{2}}{3} have the same denominator, add them by adding their numerators.

$$\frac{3\times 5x+4x^{2}}{3}$$

Do the multiplications in 3\times 5x+4x^{2}.

$$\frac{15x+4x^{2}}{3}$$

Factor

$$\frac{x\left(4x+15\right)}{3}$$

Solution Steps

Factor out \frac{1}{3}.

$$\frac{15x+4x^{2}}{3}$$

Consider 15x+4x^{2}. Factor out x.

$$x\left(15+4x\right)$$

Rewrite the complete factored expression.

$$\frac{x\left(4x+15\right)}{3}$$