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Simplifying 3m2 + -3m + -52 = 8 Reorder the terms: -52 + -3m + 3m2 = 8 Solving -52 + -3m + 3m2 = 8 Solving for variable 'm'. Reorder the terms: -52 + -8 + -3m + 3m2 = 8 + -8 Combine like terms: -52 + -8 = -60 -60 + -3m + 3m2 = 8 + -8 Combine like terms: 8 + -8 = 0 -60 + -3m + 3m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-20 + -1m + m2) = 0 Factor a trinomial. 3((-4 + -1m)(5 + -1m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve: Simplifying -4 + -1m = 0 Solving -4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1m = 0 + 4 -1m = 0 + 4 Combine like terms: 0 + 4 = 4 -1m = 4 Divide each side by '-1'. m = -4 Simplifying m = -4Subproblem 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 = {-4, 5}
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