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Simplifying 10m3n2 + -15m2n + -25m = 0 Reorder the terms: -25m + -15m2n + 10m3n2 = 0 Solving -25m + -15m2n + 10m3n2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m'. 5m(-5 + -3mn + 2m2n2) = 0 Factor a trinomial. 5m((-1 + -1mn)(5 + -2mn)) = 0 Ignore the factor 5.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 '(-1 + -1mn)' equal to zero and attempt to solve: Simplifying -1 + -1mn = 0 Solving -1 + -1mn = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1mn = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1mn = 0 + 1 -1mn = 0 + 1 Combine like terms: 0 + 1 = 1 -1mn = 1 Divide each side by '-1n'. m = -1n-1 Simplifying m = -1n-1Subproblem 3
Set the factor '(5 + -2mn)' equal to zero and attempt to solve: Simplifying 5 + -2mn = 0 Solving 5 + -2mn = 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 + -2mn = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2mn = 0 + -5 -2mn = 0 + -5 Combine like terms: 0 + -5 = -5 -2mn = -5 Divide each side by '-2n'. m = 2.5n-1 Simplifying m = 2.5n-1Solution
m = {0, -1n-1, 2.5n-1}
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