5c^5+60c^4+180c^3=

Solution for 5c^5+60c^4+180c^3= equation:

Simplifying
5c5 + 60c4 + 180c3 = 0

Reorder the terms:
180c3 + 60c4 + 5c5 = 0

Solving
180c3 + 60c4 + 5c5 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5c3'.
5c3(36 + 12c + c2) = 0

Factor a trinomial.
5c3((6 + c)(6 + c)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'c3' equal to zero and attempt to solve:

Simplifying
c3 = 0

Solving
c3 = 0

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

Simplifying
c3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
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 '(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
Solution
c = {-6, -6}