16k^8-81m^16=0

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Solution for 16k^8-81m^16=0 equation: 


Simplifying
16k8 + -81m16 = 0

Solving
16k8 + -81m16 = 0

Solving for variable 'k'.

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

Add '81m16' to each side of the equation.
16k8 + -81m16 + 81m16 = 0 + 81m16

Combine like terms: -81m16 + 81m16 = 0
16k8 + 0 = 0 + 81m16
16k8 = 0 + 81m16
Remove the zero:
16k8 = 81m16

Divide each side by '16'.
k8 = 5.0625m16

Simplifying
k8 = 5.0625m16

Combine like terms: 5.0625m16 + -5.0625m16 = 0.0000
k8 + -5.0625m16 = 0.0000

Factor a difference between two squares.
(k4 + 2.25m8)(k4 + -2.25m8) = 0.0000

Factor a difference between two squares.
(k4 + 2.25m8)((k2 + 1.5m4)(k2 + -1.5m4)) = 0.0000


Subproblem 1
Set the factor '(k4 + 2.25m8)' equal to zero and attempt to solve:

Simplifying
k4 + 2.25m8 = 0

Solving
k4 + 2.25m8 = 0

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

Add '-2.25m8' to each side of the equation.
k4 + 2.25m8 + -2.25m8 = 0 + -2.25m8

Combine like terms: 2.25m8 + -2.25m8 = 0.00
k4 + 0.00 = 0 + -2.25m8
k4 = 0 + -2.25m8
Remove the zero:
k4 = -2.25m8

Simplifying
k4 = -2.25m8

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 '(k2 + 1.5m4)' equal to zero and attempt to solve:

Simplifying
k2 + 1.5m4 = 0

Solving
k2 + 1.5m4 = 0

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

Add '-1.5m4' to each side of the equation.
k2 + 1.5m4 + -1.5m4 = 0 + -1.5m4

Combine like terms: 1.5m4 + -1.5m4 = 0.0
k2 + 0.0 = 0 + -1.5m4
k2 = 0 + -1.5m4
Remove the zero:
k2 = -1.5m4

Simplifying
k2 = -1.5m4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(k2 + -1.5m4)' equal to zero and attempt to solve:

Simplifying
k2 + -1.5m4 = 0

Solving
k2 + -1.5m4 = 0

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

Add '1.5m4' to each side of the equation.
k2 + -1.5m4 + 1.5m4 = 0 + 1.5m4

Combine like terms: -1.5m4 + 1.5m4 = 0.0
k2 + 0.0 = 0 + 1.5m4
k2 = 0 + 1.5m4
Remove the zero:
k2 = 1.5m4

Simplifying
k2 = 1.5m4

Take the square root of each side:
k = {-1.224744871m2, 1.224744871m2}
Solution
k = {-1.224744871m2, 1.224744871m2}

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