(x-1)(x+1)=0

Solution for (x-1)(x+1)=0 equation:

Simplifying
(x + -1)(x + 1) = 0

Reorder the terms:
(-1 + x)(x + 1) = 0

Reorder the terms:
(-1 + x)(1 + x) = 0

Multiply (-1 + x) * (1 + x)
(-1(1 + x) + x(1 + x)) = 0
((1 * -1 + x * -1) + x(1 + x)) = 0
((-1 + -1x) + x(1 + x)) = 0
(-1 + -1x + (1 * x + x * x)) = 0
(-1 + -1x + (1x + x2)) = 0

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

Solving
-1 + x2 = 0

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 = 0 + 1

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

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

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}