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

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

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

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

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

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

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

Solving
1 = -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.
1 + -1x2 = -1 + x2 + -1x2

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

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

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

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

Divide each side by '-1'.
x2 = 2

Simplifying
x2 = 2

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