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Simplifying 16m2 + 12m + -70 = 0 Reorder the terms: -70 + 12m + 16m2 = 0 Solving -70 + 12m + 16m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-35 + 6m + 8m2) = 0 Factor a trinomial. 2((-5 + -2m)(7 + -4m)) = 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 '(7 + -4m)' equal to zero and attempt to solve: Simplifying 7 + -4m = 0 Solving 7 + -4m = 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 + -4m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4m = 0 + -7 -4m = 0 + -7 Combine like terms: 0 + -7 = -7 -4m = -7 Divide each side by '-4'. m = 1.75 Simplifying m = 1.75Solution
m = {-2.5, 1.75}
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