-2x^2+3=x^2

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

Simplifying
-2x2 + 3 = x2

Reorder the terms:
3 + -2x2 = x2

Solving
3 + -2x2 = 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.
3 + -2x2 + -1x2 = x2 + -1x2

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

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

Add '-3' to each side of the equation.
3 + -3 + -3x2 = 0 + -3

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

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

Divide each side by '-3'.
x2 = 1

Simplifying
x2 = 1

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