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

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

Simplifying
-5k2(k4 + -3k3) = 0

Reorder the terms:
-5k2(-3k3 + k4) = 0
(-3k3 * -5k2 + k4 * -5k2) = 0
(15k5 + -5k6) = 0

Solving
15k5 + -5k6 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '5k5'.
5k5(3 + -1k) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'k5' equal to zero and attempt to solve:

Simplifying
k5 = 0

Solving
k5 = 0

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

Simplifying
k5 = 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 '(3 + -1k)' equal to zero and attempt to solve:

Simplifying
3 + -1k = 0

Solving
3 + -1k = 0

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

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

Combine like terms: 3 + -3 = 0
0 + -1k = 0 + -3
-1k = 0 + -3

Combine like terms: 0 + -3 = -3
-1k = -3

Divide each side by '-1'.
k = 3

Simplifying
k = 3
Solution
k = {3}