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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.