16k^3m+72k^2m^2+81km^3=

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Solution for 16k^3m+72k^2m^2+81km^3= equation: 


Simplifying
16k3m + 72k2m2 + 81km3 = 0

Reorder the terms:
81km3 + 72k2m2 + 16k3m = 0

Solving
81km3 + 72k2m2 + 16k3m = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'km'.
km(81m2 + 72km + 16k2) = 0

Factor a trinomial.
km((9m + 4k)(9m + 4k)) = 0


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

Simplifying
km = 0

Solving
km = 0

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

Simplifying
km = 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 '(9m + 4k)' equal to zero and attempt to solve:

Simplifying
9m + 4k = 0

Reorder the terms:
4k + 9m = 0

Solving
4k + 9m = 0

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

Add '-9m' to each side of the equation.
4k + 9m + -9m = 0 + -9m

Combine like terms: 9m + -9m = 0
4k + 0 = 0 + -9m
4k = 0 + -9m
Remove the zero:
4k = -9m

Divide each side by '4'.
k = -2.25m

Simplifying
k = -2.25m

Subproblem 3
Set the factor '(9m + 4k)' equal to zero and attempt to solve:

Simplifying
9m + 4k = 0

Reorder the terms:
4k + 9m = 0

Solving
4k + 9m = 0

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

Add '-9m' to each side of the equation.
4k + 9m + -9m = 0 + -9m

Combine like terms: 9m + -9m = 0
4k + 0 = 0 + -9m
4k = 0 + -9m
Remove the zero:
4k = -9m

Divide each side by '4'.
k = -2.25m

Simplifying
k = -2.25m
Solution
k = {-2.25m, -2.25m}

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