x^2-3+1=-x^2

Solution for x^2-3+1=-x^2 equation:

Simplifying
x2 + -3 + 1 = -1x2

Reorder the terms:
-3 + 1 + x2 = -1x2

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

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

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

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

Add '2' to each side of the equation.
-2 + 2 + 2x2 = 0 + 2

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

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

Divide each side by '2'.
x2 = 1

Simplifying
x2 = 1

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