(x-6)(x+6)=13

Solution for (x-6)(x+6)=13 equation:

Simplifying
(x + -6)(x + 6) = 13

Reorder the terms:
(-6 + x)(x + 6) = 13

Reorder the terms:
(-6 + x)(6 + x) = 13

Multiply (-6 + x) * (6 + x)
(-6(6 + x) + x(6 + x)) = 13
((6 * -6 + x * -6) + x(6 + x)) = 13
((-36 + -6x) + x(6 + x)) = 13
(-36 + -6x + (6 * x + x * x)) = 13
(-36 + -6x + (6x + x2)) = 13

Combine like terms: -6x + 6x = 0
(-36 + 0 + x2) = 13
(-36 + x2) = 13

Solving
-36 + x2 = 13

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + x2 = 13 + 36

Combine like terms: -36 + 36 = 0
0 + x2 = 13 + 36
x2 = 13 + 36

Combine like terms: 13 + 36 = 49
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}