Solve x^2-(x-2)^2=32

$$x ^ { 2 } - ( x - 2 ) ^ { 2 } = 32$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.

$$x^{2}-\left(x^{2}-4x+4\right)=32$$

To find the opposite of x^{2}-4x+4, find the opposite of each term.

$$x^{2}-x^{2}+4x-4=32$$

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

$$4x-4=32$$

Add 4 to both sides.

$$4x=32+4$$

Add 32 and 4 to get 36.

$$4x=36$$

Divide both sides by 4.

$$x=\frac{36}{4}$$

Divide 36 by 4 to get 9.

$$x=9$$