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

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

Simplifying
2x2 + -1 = 2 + -1x2

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

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

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

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

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

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

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

Divide each side by '3'.
x2 = 1

Simplifying
x2 = 1

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