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

Solution for (x-13)(x+13)=0 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}