(-4+8x^2)=0

Solution for (-4+8x^2)=0 equation:

Simplifying
(-4 + 8x2) = 0

Remove parenthesis around (-4 + 8x2)
-4 + 8x2 = 0

Solving
-4 + 8x2 = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 8x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 8x2 = 0 + 4
8x2 = 0 + 4

Combine like terms: 0 + 4 = 4
8x2 = 4

Divide each side by '8'.
x2 = 0.5

Simplifying
x2 = 0.5

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