Solve x^2-(x+2)^2=164

$$x ^ { 2 } - ( x + 2 ) ^ { 2 } = 164$$

Solve for x

$$x=-42$$

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}.

$$x^{2}-\left(x^{2}+4x+4\right)=164$$

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

$$x^{2}-x^{2}-4x-4=164$$

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

$$-4x-4=164$$

Add 4 to both sides.

$$-4x=164+4$$

Add 164 and 4 to get 168.

$$-4x=168$$

Divide both sides by -4.

$$x=\frac{168}{-4}$$

Divide 168 by -4 to get -42.

$$x=-42$$