2w^2+7w+99=0

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

Simplifying
2w2 + 7w + 99 = 0

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

Solving
99 + 7w + 2w2 = 0

Solving for variable 'w'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
49.5 + 3.5w + w2 = 0

Move the constant term to the right:

Add '-49.5' to each side of the equation.
49.5 + 3.5w + -49.5 + w2 = 0 + -49.5

Reorder the terms:
49.5 + -49.5 + 3.5w + w2 = 0 + -49.5

Combine like terms: 49.5 + -49.5 = 0.0
0.0 + 3.5w + w2 = 0 + -49.5
3.5w + w2 = 0 + -49.5

Combine like terms: 0 + -49.5 = -49.5
3.5w + w2 = -49.5

The w term is 3.5w.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5w + 3.0625 + w2 = -49.5 + 3.0625

Reorder the terms:
3.0625 + 3.5w + w2 = -49.5 + 3.0625

Combine like terms: -49.5 + 3.0625 = -46.4375
3.0625 + 3.5w + w2 = -46.4375

Factor a perfect square on the left side:
(w + 1.75)(w + 1.75) = -46.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.