-2w^2+1=0

Solution for -2w^2+1=0 equation:

Simplifying
-2w2 + 1 = 0

Reorder the terms:
1 + -2w2 = 0

Solving
1 + -2w2 = 0

Solving for variable 'w'.

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

Add '-1' to each side of the equation.
1 + -1 + -2w2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2w2 = 0 + -1
-2w2 = 0 + -1

Combine like terms: 0 + -1 = -1
-2w2 = -1

Divide each side by '-2'.
w2 = 0.5

Simplifying
w2 = 0.5

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