2(2n^2-1)=0

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

Simplifying
2(2n2 + -1) = 0

Reorder the terms:
2(-1 + 2n2) = 0
(-1 * 2 + 2n2 * 2) = 0
(-2 + 4n2) = 0

Solving
-2 + 4n2 = 0

Solving for variable 'n'.

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

Add '2' to each side of the equation.
-2 + 2 + 4n2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 4n2 = 0 + 2
4n2 = 0 + 2

Combine like terms: 0 + 2 = 2
4n2 = 2

Divide each side by '4'.
n2 = 0.5

Simplifying
n2 = 0.5

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