x^2-1=1-x^2

Solution for x^2-1=1-x^2 equation:

Simplifying
x2 + -1 = 1 + -1x2

Reorder the terms:
-1 + x2 = 1 + -1x2

Solving
-1 + x2 = 1 + -1x2

Solving for variable 'x'.

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

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

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

Combine like terms: -1x2 + x2 = 0
-1 + 2x2 = 1 + 0
-1 + 2x2 = 1

Add '1' to each side of the equation.
-1 + 1 + 2x2 = 1 + 1

Combine like terms: -1 + 1 = 0
0 + 2x2 = 1 + 1
2x2 = 1 + 1

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

Divide each side by '2'.
x2 = 1

Simplifying
x2 = 1

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