4w^2+5-96=0

Solution for 4w^2+5-96=0 equation:

Simplifying
4w2 + 5 + -96 = 0

Reorder the terms:
5 + -96 + 4w2 = 0

Combine like terms: 5 + -96 = -91
-91 + 4w2 = 0

Solving
-91 + 4w2 = 0

Solving for variable 'w'.

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

Add '91' to each side of the equation.
-91 + 91 + 4w2 = 0 + 91

Combine like terms: -91 + 91 = 0
0 + 4w2 = 0 + 91
4w2 = 0 + 91

Combine like terms: 0 + 91 = 91
4w2 = 91

Divide each side by '4'.
w2 = 22.75

Simplifying
w2 = 22.75

Take the square root of each side:
w = {-4.769696007, 4.769696007}