(2x^2-1)=0

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

Simplifying
(2x2 + -1) = 0

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

Remove parenthesis around (-1 + 2x2)
-1 + 2x2 = 0

Solving
-1 + 2x2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 2x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x2 = 0 + 1
2x2 = 0 + 1

Combine like terms: 0 + 1 = 1
2x2 = 1

Divide each side by '2'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}