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Simplifying 5m2 + 12m + -200 = -3m Reorder the terms: -200 + 12m + 5m2 = -3m Solving -200 + 12m + 5m2 = -3m Solving for variable 'm'. Reorder the terms: -200 + 12m + 3m + 5m2 = -3m + 3m Combine like terms: 12m + 3m = 15m -200 + 15m + 5m2 = -3m + 3m Combine like terms: -3m + 3m = 0 -200 + 15m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-40 + 3m + m2) = 0 Factor a trinomial. 5((-8 + -1m)(5 + -1m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve: Simplifying -8 + -1m = 0 Solving -8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = 0 + 8 -1m = 0 + 8 Combine like terms: 0 + 8 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8Subproblem 2
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 = 5Solution
m = {-8, 5}
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