(3m^2+3m-6)(-7m^2-3m-1)=0

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Solution for (3m^2+3m-6)(-7m^2-3m-1)=0 equation: 


Simplifying
(3m2 + 3m + -6)(-7m2 + -3m + -1) = 0

Reorder the terms:
(-6 + 3m + 3m2)(-7m2 + -3m + -1) = 0

Reorder the terms:
(-6 + 3m + 3m2)(-1 + -3m + -7m2) = 0

Multiply (-6 + 3m + 3m2) * (-1 + -3m + -7m2)
(-6(-1 + -3m + -7m2) + 3m * (-1 + -3m + -7m2) + 3m2 * (-1 + -3m + -7m2)) = 0
((-1 * -6 + -3m * -6 + -7m2 * -6) + 3m * (-1 + -3m + -7m2) + 3m2 * (-1 + -3m + -7m2)) = 0
((6 + 18m + 42m2) + 3m * (-1 + -3m + -7m2) + 3m2 * (-1 + -3m + -7m2)) = 0
(6 + 18m + 42m2 + (-1 * 3m + -3m * 3m + -7m2 * 3m) + 3m2 * (-1 + -3m + -7m2)) = 0
(6 + 18m + 42m2 + (-3m + -9m2 + -21m3) + 3m2 * (-1 + -3m + -7m2)) = 0
(6 + 18m + 42m2 + -3m + -9m2 + -21m3 + (-1 * 3m2 + -3m * 3m2 + -7m2 * 3m2)) = 0
(6 + 18m + 42m2 + -3m + -9m2 + -21m3 + (-3m2 + -9m3 + -21m4)) = 0

Reorder the terms:
(6 + 18m + -3m + 42m2 + -9m2 + -3m2 + -21m3 + -9m3 + -21m4) = 0

Combine like terms: 18m + -3m = 15m
(6 + 15m + 42m2 + -9m2 + -3m2 + -21m3 + -9m3 + -21m4) = 0

Combine like terms: 42m2 + -9m2 = 33m2
(6 + 15m + 33m2 + -3m2 + -21m3 + -9m3 + -21m4) = 0

Combine like terms: 33m2 + -3m2 = 30m2
(6 + 15m + 30m2 + -21m3 + -9m3 + -21m4) = 0

Combine like terms: -21m3 + -9m3 = -30m3
(6 + 15m + 30m2 + -30m3 + -21m4) = 0

Solving
6 + 15m + 30m2 + -30m3 + -21m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + 5m + 10m2 + -10m3 + -7m4) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(2 + 5m + 10m2 + -10m3 + -7m4)' equal to zero and attempt to solve:

Simplifying
2 + 5m + 10m2 + -10m3 + -7m4 = 0

Solving
2 + 5m + 10m2 + -10m3 + -7m4 = 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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