3w^2+14w+18=

Solution for 3w^2+14w+18= equation:

Simplifying
3w2 + 14w + 18 = 0

Reorder the terms:
18 + 14w + 3w2 = 0

Solving
18 + 14w + 3w2 = 0

Solving for variable 'w'.

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

Divide each side by '3'.
6 + 4.666666667w + w2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 4.666666667w + -6 + w2 = 0 + -6

Reorder the terms:
6 + -6 + 4.666666667w + w2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4.666666667w + w2 = 0 + -6
4.666666667w + w2 = 0 + -6

Combine like terms: 0 + -6 = -6
4.666666667w + w2 = -6

The w term is 4.666666667w.  Take half its coefficient (2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
4.666666667w + 5.444444448 + w2 = -6 + 5.444444448

Reorder the terms:
5.444444448 + 4.666666667w + w2 = -6 + 5.444444448

Combine like terms: -6 + 5.444444448 = -0.555555552
5.444444448 + 4.666666667w + w2 = -0.555555552

Factor a perfect square on the left side:
(w + 2.333333334)(w + 2.333333334) = -0.555555552

Can't calculate square root of the right side.

The solution to this equation could not be determined.