2c^5+44c^4+242c^3=0

Solution for 2c^5+44c^4+242c^3=0 equation:

Simplifying
2c5 + 44c4 + 242c3 = 0

Reorder the terms:
242c3 + 44c4 + 2c5 = 0

Solving
242c3 + 44c4 + 2c5 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c3'.
2c3(121 + 22c + c2) = 0

Factor a trinomial.
2c3((11 + c)(11 + c)) = 0

Ignore the factor 2.
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 '(11 + c)' equal to zero and attempt to solve:

Simplifying
11 + c = 0

Solving
11 + c = 0

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

Add '-11' to each side of the equation.
11 + -11 + c = 0 + -11

Combine like terms: 11 + -11 = 0
0 + c = 0 + -11
c = 0 + -11

Combine like terms: 0 + -11 = -11
c = -11

Simplifying
c = -11
Subproblem 3
Set the factor '(11 + c)' equal to zero and attempt to solve:

Simplifying
11 + c = 0

Solving
11 + c = 0

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

Add '-11' to each side of the equation.
11 + -11 + c = 0 + -11

Combine like terms: 11 + -11 = 0
0 + c = 0 + -11
c = 0 + -11

Combine like terms: 0 + -11 = -11
c = -11

Simplifying
c = -11
Solution
c = {-11, -11}