(x-2)(x+2)=6

Solution for (x-2)(x+2)=6 equation:

Simplifying
(x + -2)(x + 2) = 6

Reorder the terms:
(-2 + x)(x + 2) = 6

Reorder the terms:
(-2 + x)(2 + x) = 6

Multiply (-2 + x) * (2 + x)
(-2(2 + x) + x(2 + x)) = 6
((2 * -2 + x * -2) + x(2 + x)) = 6
((-4 + -2x) + x(2 + x)) = 6
(-4 + -2x + (2 * x + x * x)) = 6
(-4 + -2x + (2x + x2)) = 6

Combine like terms: -2x + 2x = 0
(-4 + 0 + x2) = 6
(-4 + x2) = 6

Solving
-4 + x2 = 6

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 = 6 + 4

Combine like terms: -4 + 4 = 0
0 + x2 = 6 + 4
x2 = 6 + 4

Combine like terms: 6 + 4 = 10
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}