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Simplifying 12m2 + 50m + -50 = 0 Reorder the terms: -50 + 50m + 12m2 = 0 Solving -50 + 50m + 12m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-25 + 25m + 6m2) = 0 Factor a trinomial. 2((-5 + -1m)(5 + -6m)) = 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 '(5 + -6m)' equal to zero and attempt to solve: Simplifying 5 + -6m = 0 Solving 5 + -6m = 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 + -6m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6m = 0 + -5 -6m = 0 + -5 Combine like terms: 0 + -5 = -5 -6m = -5 Divide each side by '-6'. m = 0.8333333333 Simplifying m = 0.8333333333Solution
m = {-5, 0.8333333333}
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