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

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

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

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

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

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

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

Solving
-4 + x2 = 5

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 = 5 + 4

Combine like terms: -4 + 4 = 0
0 + x2 = 5 + 4
x2 = 5 + 4

Combine like terms: 5 + 4 = 9
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}