2w^2+17w+37=0

Solution for 2w^2+17w+37=0 equation:

Simplifying
2w2 + 17w + 37 = 0

Reorder the terms:
37 + 17w + 2w2 = 0

Solving
37 + 17w + 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'.
18.5 + 8.5w + w2 = 0

Move the constant term to the right:

Add '-18.5' to each side of the equation.
18.5 + 8.5w + -18.5 + w2 = 0 + -18.5

Reorder the terms:
18.5 + -18.5 + 8.5w + w2 = 0 + -18.5

Combine like terms: 18.5 + -18.5 = 0.0
0.0 + 8.5w + w2 = 0 + -18.5
8.5w + w2 = 0 + -18.5

Combine like terms: 0 + -18.5 = -18.5
8.5w + w2 = -18.5

The w term is 8.5w.  Take half its coefficient (4.25).
Square it (18.0625) and add it to both sides.

Add '18.0625' to each side of the equation.
8.5w + 18.0625 + w2 = -18.5 + 18.0625

Reorder the terms:
18.0625 + 8.5w + w2 = -18.5 + 18.0625

Combine like terms: -18.5 + 18.0625 = -0.4375
18.0625 + 8.5w + w2 = -0.4375

Factor a perfect square on the left side:
(w + 4.25)(w + 4.25) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.