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Simplifying 16m2 + 36m + -70 = 0 Reorder the terms: -70 + 36m + 16m2 = 0 Solving -70 + 36m + 16m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-35 + 18m + 8m2) = 0 Factor a trinomial. 2((-7 + -2m)(5 + -4m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -2m)' equal to zero and attempt to solve: Simplifying -7 + -2m = 0 Solving -7 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2m = 0 + 7 -2m = 0 + 7 Combine like terms: 0 + 7 = 7 -2m = 7 Divide each side by '-2'. m = -3.5 Simplifying m = -3.5Subproblem 2
Set the factor '(5 + -4m)' equal to zero and attempt to solve: Simplifying 5 + -4m = 0 Solving 5 + -4m = 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 + -4m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4m = 0 + -5 -4m = 0 + -5 Combine like terms: 0 + -5 = -5 -4m = -5 Divide each side by '-4'. m = 1.25 Simplifying m = 1.25Solution
m = {-3.5, 1.25}
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