3w^2+3w+18=0

Solution for 3w^2+3w+18=0 equation:

Simplifying
3w2 + 3w + 18 = 0

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

Solving
18 + 3w + 3w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + w + w2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(6 + w + w2)' equal to zero and attempt to solve:

Simplifying
6 + w + w2 = 0

Solving
6 + w + w2 = 0

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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.
w + 0.25 + w2 = -6 + 0.25

Reorder the terms:
0.25 + w + w2 = -6 + 0.25

Combine like terms: -6 + 0.25 = -5.75
0.25 + w + w2 = -5.75

Factor a perfect square on the left side:
(w + 0.5)(w + 0.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.