k^7-2k^6m-15k^5m^2=0

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Solution for k^7-2k^6m-15k^5m^2=0 equation: 


Simplifying
k7 + -2k6m + -15k5m2 = 0

Reorder the terms:
-15k5m2 + -2k6m + k7 = 0

Solving
-15k5m2 + -2k6m + k7 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k5'.
k5(-15m2 + -2km + k2) = 0

Factor a trinomial.
k5((-3m + -1k)(5m + -1k)) = 0


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 '(-3m + -1k)' equal to zero and attempt to solve:

Simplifying
-3m + -1k = 0

Reorder the terms:
-1k + -3m = 0

Solving
-1k + -3m = 0

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

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

Combine like terms: -3m + 3m = 0
-1k + 0 = 0 + 3m
-1k = 0 + 3m
Remove the zero:
-1k = 3m

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

Simplifying
k = -3m

Subproblem 3
Set the factor '(5m + -1k)' equal to zero and attempt to solve:

Simplifying
5m + -1k = 0

Reorder the terms:
-1k + 5m = 0

Solving
-1k + 5m = 0

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

Add '-5m' to each side of the equation.
-1k + 5m + -5m = 0 + -5m

Combine like terms: 5m + -5m = 0
-1k + 0 = 0 + -5m
-1k = 0 + -5m
Remove the zero:
-1k = -5m

Divide each side by '-1'.
k = 5m

Simplifying
k = 5m
Solution
k = {-3m, 5m}

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