15c^3+5c^2-120c=

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Solution for 15c^3+5c^2-120c= equation:


Simplifying
15c3 + 5c2 + -120c = 0

Reorder the terms:
-120c + 5c2 + 15c3 = 0

Solving
-120c + 5c2 + 15c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5c'.
5c(-24 + c + 3c2) = 0

Factor a trinomial.
5c((-3 + -1c)(8 + -3c)) = 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 '(-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

Subproblem 3

Set the factor '(8 + -3c)' equal to zero and attempt to solve: Simplifying 8 + -3c = 0 Solving 8 + -3c = 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 + -3c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3c = 0 + -8 -3c = 0 + -8 Combine like terms: 0 + -8 = -8 -3c = -8 Divide each side by '-3'. c = 2.666666667 Simplifying c = 2.666666667

Solution

c = {0, -3, 2.666666667}

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