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Simplifying 20m2 = -2m3 + -50m Reorder the terms: 20m2 = -50m + -2m3 Solving 20m2 = -50m + -2m3 Solving for variable 'm'. Reorder the terms: 50m + 20m2 + 2m3 = -50m + -2m3 + 50m + 2m3 Reorder the terms: 50m + 20m2 + 2m3 = -50m + 50m + -2m3 + 2m3 Combine like terms: -50m + 50m = 0 50m + 20m2 + 2m3 = 0 + -2m3 + 2m3 50m + 20m2 + 2m3 = -2m3 + 2m3 Combine like terms: -2m3 + 2m3 = 0 50m + 20m2 + 2m3 = 0 Factor out the Greatest Common Factor (GCF), '2m'. 2m(25 + 10m + m2) = 0 Factor a trinomial. 2m((5 + m)(5 + m)) = 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 '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 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 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Subproblem 3
Set the factor '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 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 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Solution
m = {0, -5, -5}
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