3c^5-18c^4-48c^3=0

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Solution for 3c^5-18c^4-48c^3=0 equation:


Simplifying
3c5 + -18c4 + -48c3 = 0

Reorder the terms:
-48c3 + -18c4 + 3c5 = 0

Solving
-48c3 + -18c4 + 3c5 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3c3'.
3c3(-16 + -6c + c2) = 0

Factor a trinomial.
3c3((-2 + -1c)(8 + -1c)) = 0

Ignore the factor 3.

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 '(-2 + -1c)' equal to zero and attempt to solve: Simplifying -2 + -1c = 0 Solving -2 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1c = 0 + 2 -1c = 0 + 2 Combine like terms: 0 + 2 = 2 -1c = 2 Divide each side by '-1'. c = -2 Simplifying c = -2

Subproblem 3

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

Solution

c = {-2, 8}

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