(x-1)(x+1)=3

Solution for (x-1)(x+1)=3 equation:

Simplifying
(x + -1)(x + 1) = 3

Reorder the terms:
(-1 + x)(x + 1) = 3

Reorder the terms:
(-1 + x)(1 + x) = 3

Multiply (-1 + x) * (1 + x)
(-1(1 + x) + x(1 + x)) = 3
((1 * -1 + x * -1) + x(1 + x)) = 3
((-1 + -1x) + x(1 + x)) = 3
(-1 + -1x + (1 * x + x * x)) = 3
(-1 + -1x + (1x + x2)) = 3

Combine like terms: -1x + 1x = 0
(-1 + 0 + x2) = 3
(-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}