-x^2+6=-2

Solution for -x^2+6=-2 equation:

Simplifying
-1x2 + 6 = -2

Reorder the terms:
6 + -1x2 = -2

Solving
6 + -1x2 = -2

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -1x2 = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -1x2 = -2 + -6
-1x2 = -2 + -6

Combine like terms: -2 + -6 = -8
-1x2 = -8

Divide each side by '-1'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}