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Simplifying (m + -2n + -3)(5m + 4n + -8) * m = 0 Reorder the terms: (-3 + m + -2n)(5m + 4n + -8) * m = 0 Reorder the terms: (-3 + m + -2n)(-8 + 5m + 4n) * m = 0 Reorder the terms for easier multiplication: m(-3 + m + -2n)(-8 + 5m + 4n) = 0 Multiply (-3 + m + -2n) * (-8 + 5m + 4n) m(-3(-8 + 5m + 4n) + m(-8 + 5m + 4n) + -2n * (-8 + 5m + 4n)) = 0 m((-8 * -3 + 5m * -3 + 4n * -3) + m(-8 + 5m + 4n) + -2n * (-8 + 5m + 4n)) = 0 m((24 + -15m + -12n) + m(-8 + 5m + 4n) + -2n * (-8 + 5m + 4n)) = 0 m(24 + -15m + -12n + (-8 * m + 5m * m + 4n * m) + -2n * (-8 + 5m + 4n)) = 0 Reorder the terms: m(24 + -15m + -12n + (-8m + 4mn + 5m2) + -2n * (-8 + 5m + 4n)) = 0 m(24 + -15m + -12n + (-8m + 4mn + 5m2) + -2n * (-8 + 5m + 4n)) = 0 m(24 + -15m + -12n + -8m + 4mn + 5m2 + (-8 * -2n + 5m * -2n + 4n * -2n)) = 0 Reorder the terms: m(24 + -15m + -12n + -8m + 4mn + 5m2 + (-10mn + 16n + -8n2)) = 0 m(24 + -15m + -12n + -8m + 4mn + 5m2 + (-10mn + 16n + -8n2)) = 0 Reorder the terms: m(24 + -15m + -8m + 4mn + -10mn + 5m2 + -12n + 16n + -8n2) = 0 Combine like terms: -15m + -8m = -23m m(24 + -23m + 4mn + -10mn + 5m2 + -12n + 16n + -8n2) = 0 Combine like terms: 4mn + -10mn = -6mn m(24 + -23m + -6mn + 5m2 + -12n + 16n + -8n2) = 0 Combine like terms: -12n + 16n = 4n m(24 + -23m + -6mn + 5m2 + 4n + -8n2) = 0 (24 * m + -23m * m + -6mn * m + 5m2 * m + 4n * m + -8n2 * m) = 0 Reorder the terms: (24m + 4mn + -8mn2 + -23m2 + -6m2n + 5m3) = 0 (24m + 4mn + -8mn2 + -23m2 + -6m2n + 5m3) = 0 Solving 24m + 4mn + -8mn2 + -23m2 + -6m2n + 5m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(24 + 4n + -8n2 + -23m + -6mn + 5m2) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(24 + 4n + -8n2 + -23m + -6mn + 5m2)' equal to zero and attempt to solve: Simplifying 24 + 4n + -8n2 + -23m + -6mn + 5m2 = 0 Reorder the terms: 24 + -23m + -6mn + 5m2 + 4n + -8n2 = 0 Solving 24 + -23m + -6mn + 5m2 + 4n + -8n2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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