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Simplifying (2m + -3n)(2m + -3n)(2m + -3n) = 0 Multiply (2m + -3n) * (2m + -3n) (2m * (2m + -3n) + -3n * (2m + -3n))(2m + -3n) = 0 ((2m * 2m + -3n * 2m) + -3n * (2m + -3n))(2m + -3n) = 0 Reorder the terms: ((-6mn + 4m2) + -3n * (2m + -3n))(2m + -3n) = 0 ((-6mn + 4m2) + -3n * (2m + -3n))(2m + -3n) = 0 (-6mn + 4m2 + (2m * -3n + -3n * -3n))(2m + -3n) = 0 (-6mn + 4m2 + (-6mn + 9n2))(2m + -3n) = 0 Reorder the terms: (-6mn + -6mn + 4m2 + 9n2)(2m + -3n) = 0 Combine like terms: -6mn + -6mn = -12mn (-12mn + 4m2 + 9n2)(2m + -3n) = 0 Multiply (-12mn + 4m2 + 9n2) * (2m + -3n) (-12mn * (2m + -3n) + 4m2 * (2m + -3n) + 9n2 * (2m + -3n)) = 0 ((2m * -12mn + -3n * -12mn) + 4m2 * (2m + -3n) + 9n2 * (2m + -3n)) = 0 Reorder the terms: ((36mn2 + -24m2n) + 4m2 * (2m + -3n) + 9n2 * (2m + -3n)) = 0 ((36mn2 + -24m2n) + 4m2 * (2m + -3n) + 9n2 * (2m + -3n)) = 0 (36mn2 + -24m2n + (2m * 4m2 + -3n * 4m2) + 9n2 * (2m + -3n)) = 0 Reorder the terms: (36mn2 + -24m2n + (-12m2n + 8m3) + 9n2 * (2m + -3n)) = 0 (36mn2 + -24m2n + (-12m2n + 8m3) + 9n2 * (2m + -3n)) = 0 (36mn2 + -24m2n + -12m2n + 8m3 + (2m * 9n2 + -3n * 9n2)) = 0 (36mn2 + -24m2n + -12m2n + 8m3 + (18mn2 + -27n3)) = 0 Reorder the terms: (36mn2 + 18mn2 + -24m2n + -12m2n + 8m3 + -27n3) = 0 Combine like terms: 36mn2 + 18mn2 = 54mn2 (54mn2 + -24m2n + -12m2n + 8m3 + -27n3) = 0 Combine like terms: -24m2n + -12m2n = -36m2n (54mn2 + -36m2n + 8m3 + -27n3) = 0 Solving 54mn2 + -36m2n + 8m3 + -27n3 = 0 Solving for variable 'm'. The solution to this equation could not be determined.
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