(m^3+2n^2)(9m^3+12n^2)=

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Solution for (m^3+2n^2)(9m^3+12n^2)= equation: 


Simplifying
(m3 + 2n2)(9m3 + 12n2) = 0

Multiply (m3 + 2n2) * (9m3 + 12n2)
(m3(9m3 + 12n2) + 2n2 * (9m3 + 12n2)) = 0
((9m3 * m3 + 12n2 * m3) + 2n2 * (9m3 + 12n2)) = 0

Reorder the terms:
((12m3n2 + 9m6) + 2n2 * (9m3 + 12n2)) = 0
((12m3n2 + 9m6) + 2n2 * (9m3 + 12n2)) = 0
(12m3n2 + 9m6 + (9m3 * 2n2 + 12n2 * 2n2)) = 0
(12m3n2 + 9m6 + (18m3n2 + 24n4)) = 0

Reorder the terms:
(12m3n2 + 18m3n2 + 9m6 + 24n4) = 0

Combine like terms: 12m3n2 + 18m3n2 = 30m3n2
(30m3n2 + 9m6 + 24n4) = 0

Solving
30m3n2 + 9m6 + 24n4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(10m3n2 + 3m6 + 8n4) = 0

Factor a trinomial.
3((3m3 + 4n2)(m3 + 2n2)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(3m3 + 4n2)' equal to zero and attempt to solve:

Simplifying
3m3 + 4n2 = 0

Solving
3m3 + 4n2 = 0

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

Add '-4n2' to each side of the equation.
3m3 + 4n2 + -4n2 = 0 + -4n2

Combine like terms: 4n2 + -4n2 = 0
3m3 + 0 = 0 + -4n2
3m3 = 0 + -4n2
Remove the zero:
3m3 = -4n2

Divide each side by '3'.
m3 = -1.333333333n2

Simplifying
m3 = -1.333333333n2

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

Simplifying
m3 + 2n2 = 0

Solving
m3 + 2n2 = 0

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

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

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

Simplifying
m3 = -2n2

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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