2w^2+7-99=0

Solution for 2w^2+7-99=0 equation:

Simplifying
2w2 + 7 + -99 = 0

Reorder the terms:
7 + -99 + 2w2 = 0

Combine like terms: 7 + -99 = -92
-92 + 2w2 = 0

Solving
-92 + 2w2 = 0

Solving for variable 'w'.

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

Add '92' to each side of the equation.
-92 + 92 + 2w2 = 0 + 92

Combine like terms: -92 + 92 = 0
0 + 2w2 = 0 + 92
2w2 = 0 + 92

Combine like terms: 0 + 92 = 92
2w2 = 92

Divide each side by '2'.
w2 = 46

Simplifying
w2 = 46

Take the square root of each side:
w = {-6.782329983, 6.782329983}