2(x^2-6)=0

Solution for 2(x^2-6)=0 equation:

Simplifying
2(x2 + -6) = 0

Reorder the terms:
2(-6 + x2) = 0
(-6 * 2 + x2 * 2) = 0
(-12 + 2x2) = 0

Solving
-12 + 2x2 = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 2x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 2x2 = 0 + 12
2x2 = 0 + 12

Combine like terms: 0 + 12 = 12
2x2 = 12

Divide each side by '2'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}