(2m+6)(2m-8)(4m^2+3m+1)=

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Solution for (2m+6)(2m-8)(4m^2+3m+1)= equation: 


Simplifying
(2m + 6)(2m + -8)(4m2 + 3m + 1) = 0

Reorder the terms:
(6 + 2m)(2m + -8)(4m2 + 3m + 1) = 0

Reorder the terms:
(6 + 2m)(-8 + 2m)(4m2 + 3m + 1) = 0

Reorder the terms:
(6 + 2m)(-8 + 2m)(1 + 3m + 4m2) = 0

Multiply (6 + 2m) * (-8 + 2m)
(6(-8 + 2m) + 2m * (-8 + 2m))(1 + 3m + 4m2) = 0
((-8 * 6 + 2m * 6) + 2m * (-8 + 2m))(1 + 3m + 4m2) = 0
((-48 + 12m) + 2m * (-8 + 2m))(1 + 3m + 4m2) = 0
(-48 + 12m + (-8 * 2m + 2m * 2m))(1 + 3m + 4m2) = 0
(-48 + 12m + (-16m + 4m2))(1 + 3m + 4m2) = 0

Combine like terms: 12m + -16m = -4m
(-48 + -4m + 4m2)(1 + 3m + 4m2) = 0

Multiply (-48 + -4m + 4m2) * (1 + 3m + 4m2)
(-48(1 + 3m + 4m2) + -4m * (1 + 3m + 4m2) + 4m2 * (1 + 3m + 4m2)) = 0
((1 * -48 + 3m * -48 + 4m2 * -48) + -4m * (1 + 3m + 4m2) + 4m2 * (1 + 3m + 4m2)) = 0
((-48 + -144m + -192m2) + -4m * (1 + 3m + 4m2) + 4m2 * (1 + 3m + 4m2)) = 0
(-48 + -144m + -192m2 + (1 * -4m + 3m * -4m + 4m2 * -4m) + 4m2 * (1 + 3m + 4m2)) = 0
(-48 + -144m + -192m2 + (-4m + -12m2 + -16m3) + 4m2 * (1 + 3m + 4m2)) = 0
(-48 + -144m + -192m2 + -4m + -12m2 + -16m3 + (1 * 4m2 + 3m * 4m2 + 4m2 * 4m2)) = 0
(-48 + -144m + -192m2 + -4m + -12m2 + -16m3 + (4m2 + 12m3 + 16m4)) = 0

Reorder the terms:
(-48 + -144m + -4m + -192m2 + -12m2 + 4m2 + -16m3 + 12m3 + 16m4) = 0

Combine like terms: -144m + -4m = -148m
(-48 + -148m + -192m2 + -12m2 + 4m2 + -16m3 + 12m3 + 16m4) = 0

Combine like terms: -192m2 + -12m2 = -204m2
(-48 + -148m + -204m2 + 4m2 + -16m3 + 12m3 + 16m4) = 0

Combine like terms: -204m2 + 4m2 = -200m2
(-48 + -148m + -200m2 + -16m3 + 12m3 + 16m4) = 0

Combine like terms: -16m3 + 12m3 = -4m3
(-48 + -148m + -200m2 + -4m3 + 16m4) = 0

Solving
-48 + -148m + -200m2 + -4m3 + 16m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + -37m + -50m2 + -1m3 + 4m4) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-12 + -37m + -50m2 + -1m3 + 4m4)' equal to zero and attempt to solve:

Simplifying
-12 + -37m + -50m2 + -1m3 + 4m4 = 0

Solving
-12 + -37m + -50m2 + -1m3 + 4m4 = 0

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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