-2x^2+1=-3

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

Simplifying
-2x2 + 1 = -3

Reorder the terms:
1 + -2x2 = -3

Solving
1 + -2x2 = -3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -2x2 = -3 + -1

Combine like terms: 1 + -1 = 0
0 + -2x2 = -3 + -1
-2x2 = -3 + -1

Combine like terms: -3 + -1 = -4
-2x2 = -4

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

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}