2(-x^2+2)=0

Solution for 2(-x^2+2)=0 equation:

Simplifying
2(-1x2 + 2) = 0

Reorder the terms:
2(2 + -1x2) = 0
(2 * 2 + -1x2 * 2) = 0
(4 + -2x2) = 0

Solving
4 + -2x2 = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -2x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2x2 = 0 + -4
-2x2 = 0 + -4

Combine like terms: 0 + -4 = -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}