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Simplifying (7m + -4n)(6m2 + -1mn + 3n2) = 0 Reorder the terms: (7m + -4n)(-1mn + 6m2 + 3n2) = 0 Multiply (7m + -4n) * (-1mn + 6m2 + 3n2) (7m * (-1mn + 6m2 + 3n2) + -4n * (-1mn + 6m2 + 3n2)) = 0 ((-1mn * 7m + 6m2 * 7m + 3n2 * 7m) + -4n * (-1mn + 6m2 + 3n2)) = 0 Reorder the terms: ((21mn2 + -7m2n + 42m3) + -4n * (-1mn + 6m2 + 3n2)) = 0 ((21mn2 + -7m2n + 42m3) + -4n * (-1mn + 6m2 + 3n2)) = 0 (21mn2 + -7m2n + 42m3 + (-1mn * -4n + 6m2 * -4n + 3n2 * -4n)) = 0 (21mn2 + -7m2n + 42m3 + (4mn2 + -24m2n + -12n3)) = 0 Reorder the terms: (21mn2 + 4mn2 + -7m2n + -24m2n + 42m3 + -12n3) = 0 Combine like terms: 21mn2 + 4mn2 = 25mn2 (25mn2 + -7m2n + -24m2n + 42m3 + -12n3) = 0 Combine like terms: -7m2n + -24m2n = -31m2n (25mn2 + -31m2n + 42m3 + -12n3) = 0 Solving 25mn2 + -31m2n + 42m3 + -12n3 = 0 Solving for variable 'm'. The solution to this equation could not be determined.
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