-2x^2+6=0

Solution for -2x^2+6=0 equation:

Simplifying
-2x2 + 6 = 0

Reorder the terms:
6 + -2x2 = 0

Solving
6 + -2x2 = 0

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 + -2x2 = 0 + -6

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

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

Divide each side by '-2'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}