(8x^2-1)=0

Solution for (8x^2-1)=0 equation:

Simplifying
(8x2 + -1) = 0

Reorder the terms:
(-1 + 8x2) = 0

Remove parenthesis around (-1 + 8x2)
-1 + 8x2 = 0

Solving
-1 + 8x2 = 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 + 8x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8x2 = 0 + 1
8x2 = 0 + 1

Combine like terms: 0 + 1 = 1
8x2 = 1

Divide each side by '8'.
x2 = 0.125

Simplifying
x2 = 0.125

Take the square root of each side:
x = {-0.353553391, 0.353553391}