2w^2+15-100=0

Solution for 2w^2+15-100=0 equation:

Simplifying
2w2 + 15 + -100 = 0

Reorder the terms:
15 + -100 + 2w2 = 0

Combine like terms: 15 + -100 = -85
-85 + 2w2 = 0

Solving
-85 + 2w2 = 0

Solving for variable 'w'.

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

Add '85' to each side of the equation.
-85 + 85 + 2w2 = 0 + 85

Combine like terms: -85 + 85 = 0
0 + 2w2 = 0 + 85
2w2 = 0 + 85

Combine like terms: 0 + 85 = 85
2w2 = 85

Divide each side by '2'.
w2 = 42.5

Simplifying
w2 = 42.5

Take the square root of each side:
w = {-6.519202405, 6.519202405}