6w^2+19w+36=0

Solution for 6w^2+19w+36=0 equation:

Simplifying
6w2 + 19w + 36 = 0

Reorder the terms:
36 + 19w + 6w2 = 0

Solving
36 + 19w + 6w2 = 0

Solving for variable 'w'.

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

Divide each side by '6'.
6 + 3.166666667w + w2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 3.166666667w + -6 + w2 = 0 + -6

Reorder the terms:
6 + -6 + 3.166666667w + w2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3.166666667w + w2 = 0 + -6
3.166666667w + w2 = 0 + -6

Combine like terms: 0 + -6 = -6
3.166666667w + w2 = -6

The w term is 3.166666667w.  Take half its coefficient (1.583333334).
Square it (2.506944447) and add it to both sides.

Add '2.506944447' to each side of the equation.
3.166666667w + 2.506944447 + w2 = -6 + 2.506944447

Reorder the terms:
2.506944447 + 3.166666667w + w2 = -6 + 2.506944447

Combine like terms: -6 + 2.506944447 = -3.493055553
2.506944447 + 3.166666667w + w2 = -3.493055553

Factor a perfect square on the left side:
(w + 1.583333334)(w + 1.583333334) = -3.493055553

Can't calculate square root of the right side.

The solution to this equation could not be determined.