m^4+5m^2n^3-24n^6=0

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Solution for m^4+5m^2n^3-24n^6=0 equation: 


Simplifying
m4 + 5m2n3 + -24n6 = 0

Reorder the terms:
5m2n3 + m4 + -24n6 = 0

Solving
5m2n3 + m4 + -24n6 = 0

Solving for variable 'm'.

Factor a trinomial.
(m2 + -3n3)(m2 + 8n3) = 0


Subproblem 1
Set the factor '(m2 + -3n3)' equal to zero and attempt to solve:

Simplifying
m2 + -3n3 = 0

Solving
m2 + -3n3 = 0

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

Add '3n3' to each side of the equation.
m2 + -3n3 + 3n3 = 0 + 3n3

Combine like terms: -3n3 + 3n3 = 0
m2 + 0 = 0 + 3n3
m2 = 0 + 3n3
Remove the zero:
m2 = 3n3

Simplifying
m2 = 3n3

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 + 8n3)' equal to zero and attempt to solve:

Simplifying
m2 + 8n3 = 0

Solving
m2 + 8n3 = 0

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

Add '-8n3' to each side of the equation.
m2 + 8n3 + -8n3 = 0 + -8n3

Combine like terms: 8n3 + -8n3 = 0
m2 + 0 = 0 + -8n3
m2 = 0 + -8n3
Remove the zero:
m2 = -8n3

Simplifying
m2 = -8n3

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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