(2x^2-6)=0

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

Simplifying
(2x2 + -6) = 0

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

Remove parenthesis around (-6 + 2x2)
-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}