c^6+3c^5f-18c^4f^2=

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Solution for c^6+3c^5f-18c^4f^2= equation: 


Simplifying
c6 + 3c5f + -18c4f2 = 0

Reorder the terms:
-18c4f2 + 3c5f + c6 = 0

Solving
-18c4f2 + 3c5f + c6 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c4'.
c4(-18f2 + 3cf + c2) = 0

Factor a trinomial.
c4((-6f + -1c)(3f + -1c)) = 0


Subproblem 1
Set the factor 'c4' equal to zero and attempt to solve:

Simplifying
c4 = 0

Solving
c4 = 0

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

Simplifying
c4 = 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 '(-6f + -1c)' equal to zero and attempt to solve:

Simplifying
-6f + -1c = 0

Reorder the terms:
-1c + -6f = 0

Solving
-1c + -6f = 0

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

Add '6f' to each side of the equation.
-1c + -6f + 6f = 0 + 6f

Combine like terms: -6f + 6f = 0
-1c + 0 = 0 + 6f
-1c = 0 + 6f
Remove the zero:
-1c = 6f

Divide each side by '-1'.
c = -6f

Simplifying
c = -6f

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

Simplifying
3f + -1c = 0

Reorder the terms:
-1c + 3f = 0

Solving
-1c + 3f = 0

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

Add '-3f' to each side of the equation.
-1c + 3f + -3f = 0 + -3f

Combine like terms: 3f + -3f = 0
-1c + 0 = 0 + -3f
-1c = 0 + -3f
Remove the zero:
-1c = -3f

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

Simplifying
c = 3f
Solution
c = {-6f, 3f}

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