Solve 2x^2+28x-11152=(2x-136)(x+82)

$$2 x ^ { 2 } + 28 x - 11152 = ( 2 x - 136 ) ( x + 82 )$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

Solution Steps

Use the distributive property to multiply 2x-136 by x+82 and combine like terms.

$$2x^{2}+28x-11152=2x^{2}+28x-11152$$

Subtract 2x^{2} from both sides.

$$2x^{2}+28x-11152-2x^{2}=28x-11152$$

Combine 2x^{2} and -2x^{2} to get 0.

$$28x-11152=28x-11152$$

Subtract 28x from both sides.

$$28x-11152-28x=-11152$$

Combine 28x and -28x to get 0.

$$-11152=-11152$$

Compare -11152 and -11152.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{C}$$

Solve for x

$$x\in \mathrm{R}$$

Solution Steps

Use the distributive property to multiply 2x-136 by x+82 and combine like terms.

$$2x^{2}+28x-11152=2x^{2}+28x-11152$$

Subtract 2x^{2} from both sides.

$$2x^{2}+28x-11152-2x^{2}=28x-11152$$

Combine 2x^{2} and -2x^{2} to get 0.

$$28x-11152=28x-11152$$

Subtract 28x from both sides.

$$28x-11152-28x=-11152$$

Combine 28x and -28x to get 0.

$$-11152=-11152$$

Compare -11152 and -11152.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{R}$$