(n-1)(n+1)=0

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

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

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

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

Multiply (-1 + n) * (1 + n)
(-1(1 + n) + n(1 + n)) = 0
((1 * -1 + n * -1) + n(1 + n)) = 0
((-1 + -1n) + n(1 + n)) = 0
(-1 + -1n + (1 * n + n * n)) = 0
(-1 + -1n + (1n + n2)) = 0

Combine like terms: -1n + 1n = 0
(-1 + 0 + n2) = 0
(-1 + n2) = 0

Solving
-1 + n2 = 0

Solving for variable 'n'.

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

Add '1' to each side of the equation.
-1 + 1 + n2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + n2 = 0 + 1
n2 = 0 + 1

Combine like terms: 0 + 1 = 1
n2 = 1

Simplifying
n2 = 1

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