(x+13)(x-13)=

Solution for (x+13)(x-13)= equation:

Simplifying
(x + 13)(x + -13) = 0

Reorder the terms:
(13 + x)(x + -13) = 0

Reorder the terms:
(13 + x)(-13 + x) = 0

Multiply (13 + x) * (-13 + x)
(13(-13 + x) + x(-13 + x)) = 0
((-13 * 13 + x * 13) + x(-13 + x)) = 0
((-169 + 13x) + x(-13 + x)) = 0
(-169 + 13x + (-13 * x + x * x)) = 0
(-169 + 13x + (-13x + x2)) = 0

Combine like terms: 13x + -13x = 0
(-169 + 0 + x2) = 0
(-169 + x2) = 0

Solving
-169 + x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '169' to each side of the equation.
-169 + 169 + x2 = 0 + 169

Combine like terms: -169 + 169 = 0
0 + x2 = 0 + 169
x2 = 0 + 169

Combine like terms: 0 + 169 = 169
x2 = 169

Simplifying
x2 = 169

Take the square root of each side:
x = {-13, 13}