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