0=2x^2-1

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

Simplifying
0 = 2x2 + -1

Reorder the terms:
0 = -1 + 2x2

Solving
0 = -1 + 2x2

Solving for variable 'x'.

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

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

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