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Simplifying 4m2 + 8m + -117 = 0 Reorder the terms: -117 + 8m + 4m2 = 0 Solving -117 + 8m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (-13 + -2m)(9 + -2m) = 0Subproblem 1
Set the factor '(-13 + -2m)' equal to zero and attempt to solve: Simplifying -13 + -2m = 0 Solving -13 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2m = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2m = 0 + 13 -2m = 0 + 13 Combine like terms: 0 + 13 = 13 -2m = 13 Divide each side by '-2'. m = -6.5 Simplifying m = -6.5Subproblem 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 = {-6.5, 4.5}
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