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Simplifying (4m + -3n)(4m + -3n)(4m + -3n) = 0 Multiply (4m + -3n) * (4m + -3n) (4m * (4m + -3n) + -3n * (4m + -3n))(4m + -3n) = 0 ((4m * 4m + -3n * 4m) + -3n * (4m + -3n))(4m + -3n) = 0 Reorder the terms: ((-12mn + 16m2) + -3n * (4m + -3n))(4m + -3n) = 0 ((-12mn + 16m2) + -3n * (4m + -3n))(4m + -3n) = 0 (-12mn + 16m2 + (4m * -3n + -3n * -3n))(4m + -3n) = 0 (-12mn + 16m2 + (-12mn + 9n2))(4m + -3n) = 0 Reorder the terms: (-12mn + -12mn + 16m2 + 9n2)(4m + -3n) = 0 Combine like terms: -12mn + -12mn = -24mn (-24mn + 16m2 + 9n2)(4m + -3n) = 0 Multiply (-24mn + 16m2 + 9n2) * (4m + -3n) (-24mn * (4m + -3n) + 16m2 * (4m + -3n) + 9n2 * (4m + -3n)) = 0 ((4m * -24mn + -3n * -24mn) + 16m2 * (4m + -3n) + 9n2 * (4m + -3n)) = 0 Reorder the terms: ((72mn2 + -96m2n) + 16m2 * (4m + -3n) + 9n2 * (4m + -3n)) = 0 ((72mn2 + -96m2n) + 16m2 * (4m + -3n) + 9n2 * (4m + -3n)) = 0 (72mn2 + -96m2n + (4m * 16m2 + -3n * 16m2) + 9n2 * (4m + -3n)) = 0 Reorder the terms: (72mn2 + -96m2n + (-48m2n + 64m3) + 9n2 * (4m + -3n)) = 0 (72mn2 + -96m2n + (-48m2n + 64m3) + 9n2 * (4m + -3n)) = 0 (72mn2 + -96m2n + -48m2n + 64m3 + (4m * 9n2 + -3n * 9n2)) = 0 (72mn2 + -96m2n + -48m2n + 64m3 + (36mn2 + -27n3)) = 0 Reorder the terms: (72mn2 + 36mn2 + -96m2n + -48m2n + 64m3 + -27n3) = 0 Combine like terms: 72mn2 + 36mn2 = 108mn2 (108mn2 + -96m2n + -48m2n + 64m3 + -27n3) = 0 Combine like terms: -96m2n + -48m2n = -144m2n (108mn2 + -144m2n + 64m3 + -27n3) = 0 Solving 108mn2 + -144m2n + 64m3 + -27n3 = 0 Solving for variable 'm'. The solution to this equation could not be determined.
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