7m(4m-4)(2m+2)-5(3m+3)(2m+2)=3m(3m+3)(4m-4)

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Solution for 7m(4m-4)(2m+2)-5(3m+3)(2m+2)=3m(3m+3)(4m-4) equation: 


Simplifying
7m(4m + -4)(2m + 2) + -5(3m + 3)(2m + 2) = 3m(3m + 3)(4m + -4)

Reorder the terms:
7m(-4 + 4m)(2m + 2) + -5(3m + 3)(2m + 2) = 3m(3m + 3)(4m + -4)

Reorder the terms:
7m(-4 + 4m)(2 + 2m) + -5(3m + 3)(2m + 2) = 3m(3m + 3)(4m + -4)

Multiply (-4 + 4m) * (2 + 2m)
7m(-4(2 + 2m) + 4m * (2 + 2m)) + -5(3m + 3)(2m + 2) = 3m(3m + 3)(4m + -4)
7m((2 * -4 + 2m * -4) + 4m * (2 + 2m)) + -5(3m + 3)(2m + 2) = 3m(3m + 3)(4m + -4)
7m((-8 + -8m) + 4m * (2 + 2m)) + -5(3m + 3)(2m + 2) = 3m(3m + 3)(4m + -4)
7m(-8 + -8m + (2 * 4m + 2m * 4m)) + -5(3m + 3)(2m + 2) = 3m(3m + 3)(4m + -4)
7m(-8 + -8m + (8m + 8m2)) + -5(3m + 3)(2m + 2) = 3m(3m + 3)(4m + -4)

Combine like terms: -8m + 8m = 0
7m(-8 + 0 + 8m2) + -5(3m + 3)(2m + 2) = 3m(3m + 3)(4m + -4)
7m(-8 + 8m2) + -5(3m + 3)(2m + 2) = 3m(3m + 3)(4m + -4)
(-8 * 7m + 8m2 * 7m) + -5(3m + 3)(2m + 2) = 3m(3m + 3)(4m + -4)
(-56m + 56m3) + -5(3m + 3)(2m + 2) = 3m(3m + 3)(4m + -4)

Reorder the terms:
-56m + 56m3 + -5(3 + 3m)(2m + 2) = 3m(3m + 3)(4m + -4)

Reorder the terms:
-56m + 56m3 + -5(3 + 3m)(2 + 2m) = 3m(3m + 3)(4m + -4)

Multiply (3 + 3m) * (2 + 2m)
-56m + 56m3 + -5(3(2 + 2m) + 3m * (2 + 2m)) = 3m(3m + 3)(4m + -4)
-56m + 56m3 + -5((2 * 3 + 2m * 3) + 3m * (2 + 2m)) = 3m(3m + 3)(4m + -4)
-56m + 56m3 + -5((6 + 6m) + 3m * (2 + 2m)) = 3m(3m + 3)(4m + -4)
-56m + 56m3 + -5(6 + 6m + (2 * 3m + 2m * 3m)) = 3m(3m + 3)(4m + -4)
-56m + 56m3 + -5(6 + 6m + (6m + 6m2)) = 3m(3m + 3)(4m + -4)

Combine like terms: 6m + 6m = 12m
-56m + 56m3 + -5(6 + 12m + 6m2) = 3m(3m + 3)(4m + -4)
-56m + 56m3 + (6 * -5 + 12m * -5 + 6m2 * -5) = 3m(3m + 3)(4m + -4)
-56m + 56m3 + (-30 + -60m + -30m2) = 3m(3m + 3)(4m + -4)

Reorder the terms:
-30 + -56m + -60m + -30m2 + 56m3 = 3m(3m + 3)(4m + -4)

Combine like terms: -56m + -60m = -116m
-30 + -116m + -30m2 + 56m3 = 3m(3m + 3)(4m + -4)

Reorder the terms:
-30 + -116m + -30m2 + 56m3 = 3m(3 + 3m)(4m + -4)

Reorder the terms:
-30 + -116m + -30m2 + 56m3 = 3m(3 + 3m)(-4 + 4m)

Multiply (3 + 3m) * (-4 + 4m)
-30 + -116m + -30m2 + 56m3 = 3m(3(-4 + 4m) + 3m * (-4 + 4m))
-30 + -116m + -30m2 + 56m3 = 3m((-4 * 3 + 4m * 3) + 3m * (-4 + 4m))
-30 + -116m + -30m2 + 56m3 = 3m((-12 + 12m) + 3m * (-4 + 4m))
-30 + -116m + -30m2 + 56m3 = 3m(-12 + 12m + (-4 * 3m + 4m * 3m))
-30 + -116m + -30m2 + 56m3 = 3m(-12 + 12m + (-12m + 12m2))

Combine like terms: 12m + -12m = 0
-30 + -116m + -30m2 + 56m3 = 3m(-12 + 0 + 12m2)
-30 + -116m + -30m2 + 56m3 = 3m(-12 + 12m2)
-30 + -116m + -30m2 + 56m3 = (-12 * 3m + 12m2 * 3m)
-30 + -116m + -30m2 + 56m3 = (-36m + 36m3)

Solving
-30 + -116m + -30m2 + 56m3 = -36m + 36m3

Solving for variable 'm'.

Reorder the terms:
-30 + -116m + 36m + -30m2 + 56m3 + -36m3 = -36m + 36m3 + 36m + -36m3

Combine like terms: -116m + 36m = -80m
-30 + -80m + -30m2 + 56m3 + -36m3 = -36m + 36m3 + 36m + -36m3

Combine like terms: 56m3 + -36m3 = 20m3
-30 + -80m + -30m2 + 20m3 = -36m + 36m3 + 36m + -36m3

Reorder the terms:
-30 + -80m + -30m2 + 20m3 = -36m + 36m + 36m3 + -36m3

Combine like terms: -36m + 36m = 0
-30 + -80m + -30m2 + 20m3 = 0 + 36m3 + -36m3
-30 + -80m + -30m2 + 20m3 = 36m3 + -36m3

Combine like terms: 36m3 + -36m3 = 0
-30 + -80m + -30m2 + 20m3 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-3 + -8m + -3m2 + 2m3) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-3 + -8m + -3m2 + 2m3)' equal to zero and attempt to solve:

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

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