(3m^3-n^2)(2m^3+3n^2)=

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Solution for (3m^3-n^2)(2m^3+3n^2)= equation: 


Simplifying
(3m3 + -1n2)(2m3 + 3n2) = 0

Multiply (3m3 + -1n2) * (2m3 + 3n2)
(3m3 * (2m3 + 3n2) + -1n2 * (2m3 + 3n2)) = 0
((2m3 * 3m3 + 3n2 * 3m3) + -1n2 * (2m3 + 3n2)) = 0

Reorder the terms:
((9m3n2 + 6m6) + -1n2 * (2m3 + 3n2)) = 0
((9m3n2 + 6m6) + -1n2 * (2m3 + 3n2)) = 0
(9m3n2 + 6m6 + (2m3 * -1n2 + 3n2 * -1n2)) = 0
(9m3n2 + 6m6 + (-2m3n2 + -3n4)) = 0

Reorder the terms:
(9m3n2 + -2m3n2 + 6m6 + -3n4) = 0

Combine like terms: 9m3n2 + -2m3n2 = 7m3n2
(7m3n2 + 6m6 + -3n4) = 0

Solving
7m3n2 + 6m6 + -3n4 = 0

Solving for variable 'm'.

Factor a trinomial.
(3m3 + -1n2)(2m3 + 3n2) = 0


Subproblem 1
Set the factor '(3m3 + -1n2)' equal to zero and attempt to solve:

Simplifying
3m3 + -1n2 = 0

Solving
3m3 + -1n2 = 0

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

Add 'n2' to each side of the equation.
3m3 + -1n2 + n2 = 0 + n2

Combine like terms: -1n2 + n2 = 0
3m3 + 0 = 0 + n2
3m3 = 0 + n2
Remove the zero:
3m3 = n2

Divide each side by '3'.
m3 = 0.3333333333n2

Simplifying
m3 = 0.3333333333n2

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 '(2m3 + 3n2)' equal to zero and attempt to solve:

Simplifying
2m3 + 3n2 = 0

Solving
2m3 + 3n2 = 0

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

Add '-3n2' to each side of the equation.
2m3 + 3n2 + -3n2 = 0 + -3n2

Combine like terms: 3n2 + -3n2 = 0
2m3 + 0 = 0 + -3n2
2m3 = 0 + -3n2
Remove the zero:
2m3 = -3n2

Divide each side by '2'.
m3 = -1.5n2

Simplifying
m3 = -1.5n2

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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