(x+2)(x-2)+3=3

Solution for (x+2)(x-2)+3=3 equation:

Simplifying
(x + 2)(x + -2) + 3 = 3

Reorder the terms:
(2 + x)(x + -2) + 3 = 3

Reorder the terms:
(2 + x)(-2 + x) + 3 = 3

Multiply (2 + x) * (-2 + x)
(2(-2 + x) + x(-2 + x)) + 3 = 3
((-2 * 2 + x * 2) + x(-2 + x)) + 3 = 3
((-4 + 2x) + x(-2 + x)) + 3 = 3
(-4 + 2x + (-2 * x + x * x)) + 3 = 3
(-4 + 2x + (-2x + x2)) + 3 = 3

Combine like terms: 2x + -2x = 0
(-4 + 0 + x2) + 3 = 3
(-4 + x2) + 3 = 3

Reorder the terms:
-4 + 3 + x2 = 3

Combine like terms: -4 + 3 = -1
-1 + x2 = 3

Solving
-1 + x2 = 3

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x2 = 3 + 1

Combine like terms: -1 + 1 = 0
0 + x2 = 3 + 1
x2 = 3 + 1

Combine like terms: 3 + 1 = 4
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}