=(2m^2t^2+18mt-9m^2-12t^2)(-5m^2+8t^2)

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Solution for =(2m^2t^2+18mt-9m^2-12t^2)(-5m^2+8t^2) equation:


Simplifying
0 = (2m2t2 + 18mt + -9m2 + -12t2)(-5m2 + 8t2)

Reorder the terms:
0 = (18mt + -9m2 + 2m2t2 + -12t2)(-5m2 + 8t2)

Multiply (18mt + -9m2 + 2m2t2 + -12t2) * (-5m2 + 8t2)
0 = (18mt * (-5m2 + 8t2) + -9m2 * (-5m2 + 8t2) + 2m2t2 * (-5m2 + 8t2) + -12t2 * (-5m2 + 8t2))
0 = ((-5m2 * 18mt + 8t2 * 18mt) + -9m2 * (-5m2 + 8t2) + 2m2t2 * (-5m2 + 8t2) + -12t2 * (-5m2 + 8t2))

Reorder the terms:
0 = ((144mt3 + -90m3t) + -9m2 * (-5m2 + 8t2) + 2m2t2 * (-5m2 + 8t2) + -12t2 * (-5m2 + 8t2))
0 = ((144mt3 + -90m3t) + -9m2 * (-5m2 + 8t2) + 2m2t2 * (-5m2 + 8t2) + -12t2 * (-5m2 + 8t2))
0 = (144mt3 + -90m3t + (-5m2 * -9m2 + 8t2 * -9m2) + 2m2t2 * (-5m2 + 8t2) + -12t2 * (-5m2 + 8t2))

Reorder the terms:
0 = (144mt3 + -90m3t + (-72m2t2 + 45m4) + 2m2t2 * (-5m2 + 8t2) + -12t2 * (-5m2 + 8t2))
0 = (144mt3 + -90m3t + (-72m2t2 + 45m4) + 2m2t2 * (-5m2 + 8t2) + -12t2 * (-5m2 + 8t2))
0 = (144mt3 + -90m3t + -72m2t2 + 45m4 + (-5m2 * 2m2t2 + 8t2 * 2m2t2) + -12t2 * (-5m2 + 8t2))

Reorder the terms:
0 = (144mt3 + -90m3t + -72m2t2 + 45m4 + (16m2t4 + -10m4t2) + -12t2 * (-5m2 + 8t2))
0 = (144mt3 + -90m3t + -72m2t2 + 45m4 + (16m2t4 + -10m4t2) + -12t2 * (-5m2 + 8t2))
0 = (144mt3 + -90m3t + -72m2t2 + 45m4 + 16m2t4 + -10m4t2 + (-5m2 * -12t2 + 8t2 * -12t2))
0 = (144mt3 + -90m3t + -72m2t2 + 45m4 + 16m2t4 + -10m4t2 + (60m2t2 + -96t4))

Reorder the terms:
0 = (144mt3 + -72m2t2 + 60m2t2 + 16m2t4 + -90m3t + 45m4 + -10m4t2 + -96t4)

Combine like terms: -72m2t2 + 60m2t2 = -12m2t2
0 = (144mt3 + -12m2t2 + 16m2t4 + -90m3t + 45m4 + -10m4t2 + -96t4)

Solving
0 = 144mt3 + -12m2t2 + 16m2t4 + -90m3t + 45m4 + -10m4t2 + -96t4

Solving for variable 'm'.
Remove the zero:
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = 144mt3 + -12m2t2 + 16m2t4 + -90m3t + 45m4 + -10m4t2 + -96t4 + -144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4

Reorder the terms:
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = 144mt3 + -144mt3 + -12m2t2 + 12m2t2 + 16m2t4 + -16m2t4 + -90m3t + 90m3t + 45m4 + -45m4 + -10m4t2 + 10m4t2 + -96t4 + 96t4

Combine like terms: 144mt3 + -144mt3 = 0
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = 0 + -12m2t2 + 12m2t2 + 16m2t4 + -16m2t4 + -90m3t + 90m3t + 45m4 + -45m4 + -10m4t2 + 10m4t2 + -96t4 + 96t4
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = -12m2t2 + 12m2t2 + 16m2t4 + -16m2t4 + -90m3t + 90m3t + 45m4 + -45m4 + -10m4t2 + 10m4t2 + -96t4 + 96t4

Combine like terms: -12m2t2 + 12m2t2 = 0
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = 0 + 16m2t4 + -16m2t4 + -90m3t + 90m3t + 45m4 + -45m4 + -10m4t2 + 10m4t2 + -96t4 + 96t4
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = 16m2t4 + -16m2t4 + -90m3t + 90m3t + 45m4 + -45m4 + -10m4t2 + 10m4t2 + -96t4 + 96t4

Combine like terms: 16m2t4 + -16m2t4 = 0
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = 0 + -90m3t + 90m3t + 45m4 + -45m4 + -10m4t2 + 10m4t2 + -96t4 + 96t4
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = -90m3t + 90m3t + 45m4 + -45m4 + -10m4t2 + 10m4t2 + -96t4 + 96t4

Combine like terms: -90m3t + 90m3t = 0
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = 0 + 45m4 + -45m4 + -10m4t2 + 10m4t2 + -96t4 + 96t4
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = 45m4 + -45m4 + -10m4t2 + 10m4t2 + -96t4 + 96t4

Combine like terms: 45m4 + -45m4 = 0
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = 0 + -10m4t2 + 10m4t2 + -96t4 + 96t4
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = -10m4t2 + 10m4t2 + -96t4 + 96t4

Combine like terms: -10m4t2 + 10m4t2 = 0
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = 0 + -96t4 + 96t4
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = -96t4 + 96t4

Combine like terms: -96t4 + 96t4 = 0
-144mt3 + 12m2t2 + -16m2t4 + 90m3t + -45m4 + 10m4t2 + 96t4 = 0

The solution to this equation could not be determined.

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