(3m^3y^2+6m^4-2my)(2m+y)=

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Solution for (3m^3y^2+6m^4-2my)(2m+y)= equation: 


Simplifying
(3m3y2 + 6m4 + -2my)(2m + y) = 0

Reorder the terms:
(-2my + 3m3y2 + 6m4)(2m + y) = 0

Multiply (-2my + 3m3y2 + 6m4) * (2m + y)
(-2my * (2m + y) + 3m3y2 * (2m + y) + 6m4 * (2m + y)) = 0
((2m * -2my + y * -2my) + 3m3y2 * (2m + y) + 6m4 * (2m + y)) = 0

Reorder the terms:
((-2my2 + -4m2y) + 3m3y2 * (2m + y) + 6m4 * (2m + y)) = 0
((-2my2 + -4m2y) + 3m3y2 * (2m + y) + 6m4 * (2m + y)) = 0
(-2my2 + -4m2y + (2m * 3m3y2 + y * 3m3y2) + 6m4 * (2m + y)) = 0

Reorder the terms:
(-2my2 + -4m2y + (3m3y3 + 6m4y2) + 6m4 * (2m + y)) = 0
(-2my2 + -4m2y + (3m3y3 + 6m4y2) + 6m4 * (2m + y)) = 0
(-2my2 + -4m2y + 3m3y3 + 6m4y2 + (2m * 6m4 + y * 6m4)) = 0

Reorder the terms:
(-2my2 + -4m2y + 3m3y3 + 6m4y2 + (6m4y + 12m5)) = 0
(-2my2 + -4m2y + 3m3y3 + 6m4y2 + (6m4y + 12m5)) = 0

Reorder the terms:
(-2my2 + -4m2y + 3m3y3 + 6m4y + 6m4y2 + 12m5) = 0
(-2my2 + -4m2y + 3m3y3 + 6m4y + 6m4y2 + 12m5) = 0

Solving
-2my2 + -4m2y + 3m3y3 + 6m4y + 6m4y2 + 12m5 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-2y2 + -4my + 3m2y3 + 6m3y + 6m3y2 + 12m4) = 0


Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-2y2 + -4my + 3m2y3 + 6m3y + 6m3y2 + 12m4)' equal to zero and attempt to solve:

Simplifying
-2y2 + -4my + 3m2y3 + 6m3y + 6m3y2 + 12m4 = 0

Reorder the terms:
-4my + 3m2y3 + 6m3y + 6m3y2 + 12m4 + -2y2 = 0

Solving
-4my + 3m2y3 + 6m3y + 6m3y2 + 12m4 + -2y2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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