(x+7)(x-7)=-13

Solution for (x+7)(x-7)=-13 equation:

Simplifying
(x + 7)(x + -7) = -13

Reorder the terms:
(7 + x)(x + -7) = -13

Reorder the terms:
(7 + x)(-7 + x) = -13

Multiply (7 + x) * (-7 + x)
(7(-7 + x) + x(-7 + x)) = -13
((-7 * 7 + x * 7) + x(-7 + x)) = -13
((-49 + 7x) + x(-7 + x)) = -13
(-49 + 7x + (-7 * x + x * x)) = -13
(-49 + 7x + (-7x + x2)) = -13

Combine like terms: 7x + -7x = 0
(-49 + 0 + x2) = -13
(-49 + x2) = -13

Solving
-49 + x2 = -13

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + x2 = -13 + 49

Combine like terms: -49 + 49 = 0
0 + x2 = -13 + 49
x2 = -13 + 49

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

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}