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

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

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

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

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

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

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

Solving
-1 + x2 = 1

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 = 1 + 1

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

Combine like terms: 1 + 1 = 2
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}