-5k^2(k^4-3k^3)=k

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Solution for -5k^2(k^4-3k^3)=k equation: 


Simplifying
-5k2(k4 + -3k3) = k

Reorder the terms:
-5k2(-3k3 + k4) = k
(-3k3 * -5k2 + k4 * -5k2) = k
(15k5 + -5k6) = k

Solving
15k5 + -5k6 = k

Solving for variable 'k'.

Reorder the terms:
-1k + 15k5 + -5k6 = k + -1k

Combine like terms: k + -1k = 0
-1k + 15k5 + -5k6 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(-1 + 15k4 + -5k5) = 0


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

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0

Subproblem 2
Set the factor '(-1 + 15k4 + -5k5)' equal to zero and attempt to solve:

Simplifying
-1 + 15k4 + -5k5 = 0

Solving
-1 + 15k4 + -5k5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
k = {0}

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