(x-2)(x+2)=12(5)

Solution for (x-2)(x+2)=12(5) equation:

Simplifying
(x + -2)(x + 2) = 12(5)

Reorder the terms:
(-2 + x)(x + 2) = 12(5)

Reorder the terms:
(-2 + x)(2 + x) = 12(5)

Multiply (-2 + x) * (2 + x)
(-2(2 + x) + x(2 + x)) = 12(5)
((2 * -2 + x * -2) + x(2 + x)) = 12(5)
((-4 + -2x) + x(2 + x)) = 12(5)
(-4 + -2x + (2 * x + x * x)) = 12(5)
(-4 + -2x + (2x + x2)) = 12(5)

Combine like terms: -2x + 2x = 0
(-4 + 0 + x2) = 12(5)
(-4 + x2) = 12(5)

Multiply 12 * 5
-4 + x2 = 60

Solving
-4 + x2 = 60

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x2 = 60 + 4

Combine like terms: -4 + 4 = 0
0 + x2 = 60 + 4
x2 = 60 + 4

Combine like terms: 60 + 4 = 64
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}