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Simplifying 2m2 + -30m + -200 = 0 Reorder the terms: -200 + -30m + 2m2 = 0 Solving -200 + -30m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-100 + -15m + m2) = 0 Factor a trinomial. 2((-5 + -1m)(20 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 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 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 2
Set the factor '(20 + -1m)' equal to zero and attempt to solve: Simplifying 20 + -1m = 0 Solving 20 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1m = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1m = 0 + -20 -1m = 0 + -20 Combine like terms: 0 + -20 = -20 -1m = -20 Divide each side by '-1'. m = 20 Simplifying m = 20Solution
m = {-5, 20}
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