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Simplifying 10m3n2 + -15m2n + -10m3n2 + -15m2n + -25m = 25m Reorder the terms: -25m + -15m2n + -15m2n + 10m3n2 + -10m3n2 = 25m Combine like terms: -15m2n + -15m2n = -30m2n -25m + -30m2n + 10m3n2 + -10m3n2 = 25m Combine like terms: 10m3n2 + -10m3n2 = 0 -25m + -30m2n + 0 = 25m -25m + -30m2n = 25m Solving -25m + -30m2n = 25m Solving for variable 'm'. Reorder the terms: -25m + -25m + -30m2n = 25m + -25m Combine like terms: -25m + -25m = -50m -50m + -30m2n = 25m + -25m Combine like terms: 25m + -25m = 0 -50m + -30m2n = 0 Factor out the Greatest Common Factor (GCF), '-10m'. -10m(5 + 3mn) = 0 Ignore the factor -10.Subproblem 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 '(5 + 3mn)' equal to zero and attempt to solve: Simplifying 5 + 3mn = 0 Solving 5 + 3mn = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3mn = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3mn = 0 + -5 3mn = 0 + -5 Combine like terms: 0 + -5 = -5 3mn = -5 Divide each side by '3n'. m = -1.666666667n-1 Simplifying m = -1.666666667n-1Solution
m = {0, -1.666666667n-1}
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