-2x^2-1=-5

Solution for -2x^2-1=-5 equation:

Simplifying
-2x2 + -1 = -5

Reorder the terms:
-1 + -2x2 = -5

Solving
-1 + -2x2 = -5

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 = -5 + 1

Combine like terms: -1 + 1 = 0
0 + -2x2 = -5 + 1
-2x2 = -5 + 1

Combine like terms: -5 + 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}