5c^3+15c^2-200c=0

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Solution for 5c^3+15c^2-200c=0 equation: 


Simplifying
5c3 + 15c2 + -200c = 0

Reorder the terms:
-200c + 15c2 + 5c3 = 0

Solving
-200c + 15c2 + 5c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5c'.
5c(-40 + 3c + c2) = 0

Factor a trinomial.
5c((-8 + -1c)(5 + -1c)) = 0

Ignore the factor 5.

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 '(-8 + -1c)' equal to zero and attempt to solve:

Simplifying
-8 + -1c = 0

Solving
-8 + -1c = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1c = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1c = 0 + 8
-1c = 0 + 8

Combine like terms: 0 + 8 = 8
-1c = 8

Divide each side by '-1'.
c = -8

Simplifying
c = -8

Subproblem 3
Set the factor '(5 + -1c)' equal to zero and attempt to solve:

Simplifying
5 + -1c = 0

Solving
5 + -1c = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1c = 0 + -5
-1c = 0 + -5

Combine like terms: 0 + -5 = -5
-1c = -5

Divide each side by '-1'.
c = 5

Simplifying
c = 5
Solution
c = {0, -8, 5}

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