-2(x^2-1)=0

Solution for -2(x^2-1)=0 equation:

Simplifying
-2(x2 + -1) = 0

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

Solving
2 + -2x2 = 0

Solving for variable 'x'.

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

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

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

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

Divide each side by '-2'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}