=(x+1)(x-1)

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

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

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

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

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

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

Solving
0 = -1 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
0 + -1x2 = -1 + x2 + -1x2
Remove the zero:
-1x2 = -1 + x2 + -1x2

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

Divide each side by '-1'.
x2 = 1

Simplifying
x2 = 1

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