2u^2-1=0

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

Simplifying
2u2 + -1 = 0

Reorder the terms:
-1 + 2u2 = 0

Solving
-1 + 2u2 = 0

Solving for variable 'u'.

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

Add '1' to each side of the equation.
-1 + 1 + 2u2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2u2 = 0 + 1
2u2 = 0 + 1

Combine like terms: 0 + 1 = 1
2u2 = 1

Divide each side by '2'.
u2 = 0.5

Simplifying
u2 = 0.5

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