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Simplifying 10m3 + -4m2 + -1m = 3m2 + 5m Reorder the terms: -1m + -4m2 + 10m3 = 3m2 + 5m Reorder the terms: -1m + -4m2 + 10m3 = 5m + 3m2 Solving -1m + -4m2 + 10m3 = 5m + 3m2 Solving for variable 'm'. Reorder the terms: -1m + -5m + -4m2 + -3m2 + 10m3 = 5m + 3m2 + -5m + -3m2 Combine like terms: -1m + -5m = -6m -6m + -4m2 + -3m2 + 10m3 = 5m + 3m2 + -5m + -3m2 Combine like terms: -4m2 + -3m2 = -7m2 -6m + -7m2 + 10m3 = 5m + 3m2 + -5m + -3m2 Reorder the terms: -6m + -7m2 + 10m3 = 5m + -5m + 3m2 + -3m2 Combine like terms: 5m + -5m = 0 -6m + -7m2 + 10m3 = 0 + 3m2 + -3m2 -6m + -7m2 + 10m3 = 3m2 + -3m2 Combine like terms: 3m2 + -3m2 = 0 -6m + -7m2 + 10m3 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-6 + -7m + 10m2) = 0 Factor a trinomial. m((-1 + -2m)(6 + -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 '(-1 + -2m)' equal to zero and attempt to solve: Simplifying -1 + -2m = 0 Solving -1 + -2m = 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 + -2m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2m = 0 + 1 -2m = 0 + 1 Combine like terms: 0 + 1 = 1 -2m = 1 Divide each side by '-2'. m = -0.5 Simplifying m = -0.5Subproblem 3
Set the factor '(6 + -5m)' equal to zero and attempt to solve: Simplifying 6 + -5m = 0 Solving 6 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5m = 0 + -6 -5m = 0 + -6 Combine like terms: 0 + -6 = -6 -5m = -6 Divide each side by '-5'. m = 1.2 Simplifying m = 1.2Solution
m = {0, -0.5, 1.2}
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