24m^2(2m^2+3)-6m(2m^2+3)=

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Solution for 24m^2(2m^2+3)-6m(2m^2+3)= equation: 


Simplifying
24m2(2m2 + 3) + -6m(2m2 + 3) = 0

Reorder the terms:
24m2(3 + 2m2) + -6m(2m2 + 3) = 0
(3 * 24m2 + 2m2 * 24m2) + -6m(2m2 + 3) = 0
(72m2 + 48m4) + -6m(2m2 + 3) = 0

Reorder the terms:
72m2 + 48m4 + -6m(3 + 2m2) = 0
72m2 + 48m4 + (3 * -6m + 2m2 * -6m) = 0
72m2 + 48m4 + (-18m + -12m3) = 0

Reorder the terms:
-18m + 72m2 + -12m3 + 48m4 = 0

Solving
-18m + 72m2 + -12m3 + 48m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6m'.
6m(-3 + 12m + -2m2 + 8m3) = 0

Ignore the factor 6.

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 '(-3 + 12m + -2m2 + 8m3)' equal to zero and attempt to solve:

Simplifying
-3 + 12m + -2m2 + 8m3 = 0

Solving
-3 + 12m + -2m2 + 8m3 = 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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