2w^2+w+66=0

Solution for 2w^2+w+66=0 equation:

Simplifying
2w2 + w + 66 = 0

Reorder the terms:
66 + w + 2w2 = 0

Solving
66 + w + 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'.
33 + 0.5w + w2 = 0

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + 0.5w + -33 + w2 = 0 + -33

Reorder the terms:
33 + -33 + 0.5w + w2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 0.5w + w2 = 0 + -33
0.5w + w2 = 0 + -33

Combine like terms: 0 + -33 = -33
0.5w + w2 = -33

The w term is w.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.5w + 0.25 + w2 = -33 + 0.25

Reorder the terms:
0.25 + 0.5w + w2 = -33 + 0.25

Combine like terms: -33 + 0.25 = -32.75
0.25 + 0.5w + w2 = -32.75

Factor a perfect square on the left side:
(w + 0.5)(w + 0.5) = -32.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.