20c^3-39c^2+18c=0

Solution for 20c^3-39c^2+18c=0 equation:

Simplifying
20c3 + -39c2 + 18c = 0

Reorder the terms:
18c + -39c2 + 20c3 = 0

Solving
18c + -39c2 + 20c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(18 + -39c + 20c2) = 0

Factor a trinomial.
c((3 + -4c)(6 + -5c)) = 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 '(3 + -4c)' equal to zero and attempt to solve:

Simplifying
3 + -4c = 0

Solving
3 + -4c = 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 + -4c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4c = 0 + -3
-4c = 0 + -3

Combine like terms: 0 + -3 = -3
-4c = -3

Divide each side by '-4'.
c = 0.75

Simplifying
c = 0.75
Subproblem 3
Set the factor '(6 + -5c)' equal to zero and attempt to solve:

Simplifying
6 + -5c = 0

Solving
6 + -5c = 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 + -5c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5c = 0 + -6
-5c = 0 + -6

Combine like terms: 0 + -6 = -6
-5c = -6

Divide each side by '-5'.
c = 1.2

Simplifying
c = 1.2
Solution
c = {0, 0.75, 1.2}