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Simplifying 10m3 + -15m = -19m2 Reorder the terms: -15m + 10m3 = -19m2 Solving -15m + 10m3 = -19m2 Solving for variable 'm'. Reorder the terms: -15m + 19m2 + 10m3 = -19m2 + 19m2 Combine like terms: -19m2 + 19m2 = 0 -15m + 19m2 + 10m3 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-15 + 19m + 10m2) = 0 Factor a trinomial. m((-5 + -2m)(3 + -5m)) = 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 '(-5 + -2m)' equal to zero and attempt to solve: Simplifying -5 + -2m = 0 Solving -5 + -2m = 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 + -2m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2m = 0 + 5 -2m = 0 + 5 Combine like terms: 0 + 5 = 5 -2m = 5 Divide each side by '-2'. m = -2.5 Simplifying m = -2.5Subproblem 3
Set the factor '(3 + -5m)' equal to zero and attempt to solve: Simplifying 3 + -5m = 0 Solving 3 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5m = 0 + -3 -5m = 0 + -3 Combine like terms: 0 + -3 = -3 -5m = -3 Divide each side by '-5'. m = 0.6 Simplifying m = 0.6Solution
m = {0, -2.5, 0.6}
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