(x+6)(x-6)=45

Solution for (x+6)(x-6)=45 equation:

Simplifying
(x + 6)(x + -6) = 45

Reorder the terms:
(6 + x)(x + -6) = 45

Reorder the terms:
(6 + x)(-6 + x) = 45

Multiply (6 + x) * (-6 + x)
(6(-6 + x) + x(-6 + x)) = 45
((-6 * 6 + x * 6) + x(-6 + x)) = 45
((-36 + 6x) + x(-6 + x)) = 45
(-36 + 6x + (-6 * x + x * x)) = 45
(-36 + 6x + (-6x + x2)) = 45

Combine like terms: 6x + -6x = 0
(-36 + 0 + x2) = 45
(-36 + x2) = 45

Solving
-36 + x2 = 45

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 = 45 + 36

Combine like terms: -36 + 36 = 0
0 + x2 = 45 + 36
x2 = 45 + 36

Combine like terms: 45 + 36 = 81
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}