((4x^2)-2)=0

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

Simplifying
((4x2) + -2) = 0

Reorder the terms:
(-2 + (4x2)) = 0

Remove parenthesis around (-2 + (4x2))
-2 + (4x2) = 0

Solving
-2 + (4x2) = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + (4x2) = 0 + 2

Combine like terms: -2 + 2 = 0
0 + (4x2) = 0 + 2
(4x2) = 0 + 2

Combine like terms: 0 + 2 = 2
(4x2) = 2

Divide each side by '4'.
x2 = 0.5

Simplifying
x2 = 0.5

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