Solve x^2-(x-2)x-(x+6)=0

$$x ^ { 2 } - ( x - 2 ) x - ( x + 6 ) = 0$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-2 by x.

$$x^{2}-\left(x^{2}-2x\right)-\left(x+6\right)=0$$

To find the opposite of x^{2}-2x, find the opposite of each term.

$$x^{2}-x^{2}+2x-\left(x+6\right)=0$$

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

$$2x-\left(x+6\right)=0$$

To find the opposite of x+6, find the opposite of each term.

$$2x-x-6=0$$

Combine 2x and -x to get x.

$$x-6=0$$

Add 6 to both sides. Anything plus zero gives itself.

$$x=6$$