2x^2+1=2+x^2

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

Simplifying
2x2 + 1 = 2 + x2

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

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

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

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

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

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

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

Divide each side by '1'.
x2 = 1

Simplifying
x2 = 1

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