2-2x^2=x^2-1

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

Simplifying
2 + -2x2 = x2 + -1

Reorder the terms:
2 + -2x2 = -1 + x2

Solving
2 + -2x2 = -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.
2 + -2x2 + -1x2 = -1 + x2 + -1x2

Combine like terms: -2x2 + -1x2 = -3x2
2 + -3x2 = -1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + -3x2 = -1 + 0
2 + -3x2 = -1

Add '-2' to each side of the equation.
2 + -2 + -3x2 = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -3x2 = -1 + -2
-3x2 = -1 + -2

Combine like terms: -1 + -2 = -3
-3x2 = -3

Divide each side by '-3'.
x2 = 1

Simplifying
x2 = 1

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