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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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