24m^4+32m^3-42m^2-12m=2(12m^3+16m^2-21m-6)

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Solution for 24m^4+32m^3-42m^2-12m=2(12m^3+16m^2-21m-6) equation: 


Simplifying
24m4 + 32m3 + -42m2 + -12m = 2(12m3 + 16m2 + -21m + -6)

Reorder the terms:
-12m + -42m2 + 32m3 + 24m4 = 2(12m3 + 16m2 + -21m + -6)

Reorder the terms:
-12m + -42m2 + 32m3 + 24m4 = 2(-6 + -21m + 16m2 + 12m3)
-12m + -42m2 + 32m3 + 24m4 = (-6 * 2 + -21m * 2 + 16m2 * 2 + 12m3 * 2)
-12m + -42m2 + 32m3 + 24m4 = (-12 + -42m + 32m2 + 24m3)

Solving
-12m + -42m2 + 32m3 + 24m4 = -12 + -42m + 32m2 + 24m3

Solving for variable 'm'.

Reorder the terms:
12 + -12m + 42m + -42m2 + -32m2 + 32m3 + -24m3 + 24m4 = -12 + -42m + 32m2 + 24m3 + 12 + 42m + -32m2 + -24m3

Combine like terms: -12m + 42m = 30m
12 + 30m + -42m2 + -32m2 + 32m3 + -24m3 + 24m4 = -12 + -42m + 32m2 + 24m3 + 12 + 42m + -32m2 + -24m3

Combine like terms: -42m2 + -32m2 = -74m2
12 + 30m + -74m2 + 32m3 + -24m3 + 24m4 = -12 + -42m + 32m2 + 24m3 + 12 + 42m + -32m2 + -24m3

Combine like terms: 32m3 + -24m3 = 8m3
12 + 30m + -74m2 + 8m3 + 24m4 = -12 + -42m + 32m2 + 24m3 + 12 + 42m + -32m2 + -24m3

Reorder the terms:
12 + 30m + -74m2 + 8m3 + 24m4 = -12 + 12 + -42m + 42m + 32m2 + -32m2 + 24m3 + -24m3

Combine like terms: -12 + 12 = 0
12 + 30m + -74m2 + 8m3 + 24m4 = 0 + -42m + 42m + 32m2 + -32m2 + 24m3 + -24m3
12 + 30m + -74m2 + 8m3 + 24m4 = -42m + 42m + 32m2 + -32m2 + 24m3 + -24m3

Combine like terms: -42m + 42m = 0
12 + 30m + -74m2 + 8m3 + 24m4 = 0 + 32m2 + -32m2 + 24m3 + -24m3
12 + 30m + -74m2 + 8m3 + 24m4 = 32m2 + -32m2 + 24m3 + -24m3

Combine like terms: 32m2 + -32m2 = 0
12 + 30m + -74m2 + 8m3 + 24m4 = 0 + 24m3 + -24m3
12 + 30m + -74m2 + 8m3 + 24m4 = 24m3 + -24m3

Combine like terms: 24m3 + -24m3 = 0
12 + 30m + -74m2 + 8m3 + 24m4 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 15m + -37m2 + 4m3 + 12m4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(6 + 15m + -37m2 + 4m3 + 12m4)' equal to zero and attempt to solve:

Simplifying
6 + 15m + -37m2 + 4m3 + 12m4 = 0

Solving
6 + 15m + -37m2 + 4m3 + 12m4 = 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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