-5c^3+31c^2-48c=0

Solution for -5c^3+31c^2-48c=0 equation:

Simplifying
-5c3 + 31c2 + -48c = 0

Reorder the terms:
-48c + 31c2 + -5c3 = 0

Solving
-48c + 31c2 + -5c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(-48 + 31c + -5c2) = 0

Factor a trinomial.
c((-16 + 5c)(3 + -1c)) = 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 '(-16 + 5c)' equal to zero and attempt to solve:

Simplifying
-16 + 5c = 0

Solving
-16 + 5c = 0

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

Add '16' to each side of the equation.
-16 + 16 + 5c = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 5c = 0 + 16
5c = 0 + 16

Combine like terms: 0 + 16 = 16
5c = 16

Divide each side by '5'.
c = 3.2

Simplifying
c = 3.2
Subproblem 3
Set the factor '(3 + -1c)' equal to zero and attempt to solve:

Simplifying
3 + -1c = 0

Solving
3 + -1c = 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 + -1c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1c = 0 + -3
-1c = 0 + -3

Combine like terms: 0 + -3 = -3
-1c = -3

Divide each side by '-1'.
c = 3

Simplifying
c = 3
Solution
c = {0, 3.2, 3}