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Simplifying 8m2 + -16m + -99 = -9 Reorder the terms: -99 + -16m + 8m2 = -9 Solving -99 + -16m + 8m2 = -9 Solving for variable 'm'. Reorder the terms: -99 + 9 + -16m + 8m2 = -9 + 9 Combine like terms: -99 + 9 = -90 -90 + -16m + 8m2 = -9 + 9 Combine like terms: -9 + 9 = 0 -90 + -16m + 8m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-45 + -8m + 4m2) = 0 Factor a trinomial. 2((-5 + -2m)(9 + -2m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -2m)' equal to zero and attempt to solve: Simplifying -5 + -2m = 0 Solving -5 + -2m = 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 + -2m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2m = 0 + 5 -2m = 0 + 5 Combine like terms: 0 + 5 = 5 -2m = 5 Divide each side by '-2'. m = -2.5 Simplifying m = -2.5Subproblem 2
Set the factor '(9 + -2m)' equal to zero and attempt to solve: Simplifying 9 + -2m = 0 Solving 9 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2m = 0 + -9 -2m = 0 + -9 Combine like terms: 0 + -9 = -9 -2m = -9 Divide each side by '-2'. m = 4.5 Simplifying m = 4.5Solution
m = {-2.5, 4.5}
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