X^2-1=(x+1)(x-1)

Solution for X^2-1=(x+1)(x-1) equation:

Simplifying
X2 + -1 = (x + 1)(x + -1)

Reorder the terms:
-1 + X2 = (x + 1)(x + -1)

Reorder the terms:
-1 + X2 = (1 + x)(x + -1)

Reorder the terms:
-1 + X2 = (1 + x)(-1 + x)

Multiply (1 + x) * (-1 + x)
-1 + X2 = (1(-1 + x) + x(-1 + x))
-1 + X2 = ((-1 * 1 + x * 1) + x(-1 + x))
-1 + X2 = ((-1 + 1x) + x(-1 + x))
-1 + X2 = (-1 + 1x + (-1 * x + x * x))
-1 + X2 = (-1 + 1x + (-1x + x2))

Combine like terms: 1x + -1x = 0
-1 + X2 = (-1 + 0 + x2)
-1 + X2 = (-1 + x2)

Add '1' to each side of the equation.
-1 + 1 + X2 = -1 + 1 + x2

Combine like terms: -1 + 1 = 0
0 + X2 = -1 + 1 + x2
X2 = -1 + 1 + x2

Combine like terms: -1 + 1 = 0
X2 = 0 + x2
X2 = x2

Solving
X2 = x2

Solving for variable 'X'.

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

Simplifying
X2 = x2

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