C^3+9C^2+18C=

Solution for C^3+9C^2+18C= equation:

Simplifying
C3 + 9C2 + 18C = 0

Reorder the terms:
18C + 9C2 + C3 = 0

Solving
18C + 9C2 + C3 = 0

Solving for variable 'C'.

Factor out the Greatest Common Factor (GCF), 'C'.
C(18 + 9C + C2) = 0

Factor a trinomial.
C((6 + C)(3 + C)) = 0

Subproblem 1
Set the factor 'C' equal to zero and attempt to solve:

Simplifying
C = 0

Solving
C = 0

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

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

Simplifying
6 + C = 0

Solving
6 + C = 0

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

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

Combine like terms: 6 + -6 = 0
0 + C = 0 + -6
C = 0 + -6

Combine like terms: 0 + -6 = -6
C = -6

Simplifying
C = -6
Subproblem 3
Set the factor '(3 + C)' equal to zero and attempt to solve:

Simplifying
3 + C = 0

Solving
3 + C = 0

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

Add '-3' to each side of the equation.
3 + -3 + C = 0 + -3

Combine like terms: 3 + -3 = 0
0 + C = 0 + -3
C = 0 + -3

Combine like terms: 0 + -3 = -3
C = -3

Simplifying
C = -3
Solution
C = {0, -6, -3}