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