Solve x(648/x-4+8)

$$x ( \frac { 648 } { x - 4 } + 8 )$$

Evaluate

$$\frac{8x\left(x+77\right)}{x-4}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 8 times \frac{x-4}{x-4}.

$$x\left(\frac{648}{x-4}+\frac{8\left(x-4\right)}{x-4}\right)$$

Since \frac{648}{x-4} and \frac{8\left(x-4\right)}{x-4} have the same denominator, add them by adding their numerators.

$$x\times \frac{648+8\left(x-4\right)}{x-4}$$

Do the multiplications in 648+8\left(x-4\right).

$$x\times \frac{648+8x-32}{x-4}$$

Combine like terms in 648+8x-32.

$$x\times \frac{616+8x}{x-4}$$

Express x\times \frac{616+8x}{x-4} as a single fraction.

$$\frac{x\left(616+8x\right)}{x-4}$$

Use the distributive property to multiply x by 616+8x.

$$\frac{616x+8x^{2}}{x-4}$$

Expand

$$\frac{8\left(x^{2}+77x\right)}{x-4}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 8 times \frac{x-4}{x-4}.

$$x\left(\frac{648}{x-4}+\frac{8\left(x-4\right)}{x-4}\right)$$

Since \frac{648}{x-4} and \frac{8\left(x-4\right)}{x-4} have the same denominator, add them by adding their numerators.

$$x\times \frac{648+8\left(x-4\right)}{x-4}$$

Do the multiplications in 648+8\left(x-4\right).

$$x\times \frac{648+8x-32}{x-4}$$

Combine like terms in 648+8x-32.

$$x\times \frac{616+8x}{x-4}$$

Express x\times \frac{616+8x}{x-4} as a single fraction.

$$\frac{x\left(616+8x\right)}{x-4}$$

Use the distributive property to multiply x by 616+8x.

$$\frac{616x+8x^{2}}{x-4}$$