2(2w^2-5)=0

Solution for 2(2w^2-5)=0 equation:

Simplifying
2(2w2 + -5) = 0

Reorder the terms:
2(-5 + 2w2) = 0
(-5 * 2 + 2w2 * 2) = 0
(-10 + 4w2) = 0

Solving
-10 + 4w2 = 0

Solving for variable 'w'.

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

Add '10' to each side of the equation.
-10 + 10 + 4w2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 4w2 = 0 + 10
4w2 = 0 + 10

Combine like terms: 0 + 10 = 10
4w2 = 10

Divide each side by '4'.
w2 = 2.5

Simplifying
w2 = 2.5

Take the square root of each side:
w = {-1.58113883, 1.58113883}