x^2=(-x^2)+2

Solution for x^2=(-x^2)+2 equation:

Simplifying
x2 = (-1x2) + 2

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

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

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

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

Divide each side by '2'.
x2 = 1

Simplifying
x2 = 1

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