m^4-81n^6=

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Solution for m^4-81n^6= equation: 


Simplifying
m4 + -81n6 = 0

Solving
m4 + -81n6 = 0

Solving for variable 'm'.

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

Add '81n6' to each side of the equation.
m4 + -81n6 + 81n6 = 0 + 81n6

Combine like terms: -81n6 + 81n6 = 0
m4 + 0 = 0 + 81n6
m4 = 0 + 81n6
Remove the zero:
m4 = 81n6

Simplifying
m4 = 81n6

Combine like terms: 81n6 + -81n6 = 0
m4 + -81n6 = 0

Factor a difference between two squares.
(m2 + 9n3)(m2 + -9n3) = 0


Subproblem 1
Set the factor '(m2 + 9n3)' equal to zero and attempt to solve:

Simplifying
m2 + 9n3 = 0

Solving
m2 + 9n3 = 0

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

Add '-9n3' to each side of the equation.
m2 + 9n3 + -9n3 = 0 + -9n3

Combine like terms: 9n3 + -9n3 = 0
m2 + 0 = 0 + -9n3
m2 = 0 + -9n3
Remove the zero:
m2 = -9n3

Simplifying
m2 = -9n3

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 '(m2 + -9n3)' equal to zero and attempt to solve:

Simplifying
m2 + -9n3 = 0

Solving
m2 + -9n3 = 0

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

Add '9n3' to each side of the equation.
m2 + -9n3 + 9n3 = 0 + 9n3

Combine like terms: -9n3 + 9n3 = 0
m2 + 0 = 0 + 9n3
m2 = 0 + 9n3
Remove the zero:
m2 = 9n3

Simplifying
m2 = 9n3

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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