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

Solution for (1-x)(1+x)=0 equation:

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

Multiply (1 + -1x) * (1 + x)
(1(1 + x) + -1x * (1 + x)) = 0
((1 * 1 + x * 1) + -1x * (1 + x)) = 0
((1 + 1x) + -1x * (1 + x)) = 0
(1 + 1x + (1 * -1x + x * -1x)) = 0
(1 + 1x + (-1x + -1x2)) = 0

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

Solving
1 + -1x2 = 0

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 + -1x2 = 0 + -1

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

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

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

Simplifying
x2 = 1

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