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

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

Simplifying
-1x2 + 2 = x2 + 1

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

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

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

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

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

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

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

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

Divide each side by '-2'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}