18w^3+15w^2+18w=

Solution for 18w^3+15w^2+18w= equation:

Simplifying
18w3 + 15w2 + 18w = 0

Reorder the terms:
18w + 15w2 + 18w3 = 0

Solving
18w + 15w2 + 18w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w'.
3w(6 + 5w + 6w2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

Move all terms containing w to the left, all other terms to the right.

Simplifying
w = 0
Subproblem 2
Set the factor '(6 + 5w + 6w2)' equal to zero and attempt to solve:

Simplifying
6 + 5w + 6w2 = 0

Solving
6 + 5w + 6w2 = 0

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

Divide each side by '6'.
1 + 0.8333333333w + w2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.8333333333w + -1 + w2 = 0 + -1

Reorder the terms:
1 + -1 + 0.8333333333w + w2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.8333333333w + w2 = 0 + -1
0.8333333333w + w2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.8333333333w + w2 = -1

The w term is 0.8333333333w.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333w + 0.1736111111 + w2 = -1 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333w + w2 = -1 + 0.1736111111

Combine like terms: -1 + 0.1736111111 = -0.8263888889
0.1736111111 + 0.8333333333w + w2 = -0.8263888889

Factor a perfect square on the left side:
(w + 0.4166666667)(w + 0.4166666667) = -0.8263888889

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.
Solution
w = {0}