2w^2-28-98=0

Solution for 2w^2-28-98=0 equation:

Simplifying
2w2 + -28 + -98 = 0

Reorder the terms:
-28 + -98 + 2w2 = 0

Combine like terms: -28 + -98 = -126
-126 + 2w2 = 0

Solving
-126 + 2w2 = 0

Solving for variable 'w'.

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

Add '126' to each side of the equation.
-126 + 126 + 2w2 = 0 + 126

Combine like terms: -126 + 126 = 0
0 + 2w2 = 0 + 126
2w2 = 0 + 126

Combine like terms: 0 + 126 = 126
2w2 = 126

Divide each side by '2'.
w2 = 63

Simplifying
w2 = 63

Take the square root of each side:
w = {-7.937253933, 7.937253933}