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Simplifying 18m2 + -69m + -105 = 0 Reorder the terms: -105 + -69m + 18m2 = 0 Solving -105 + -69m + 18m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(-35 + -23m + 6m2) = 0 Factor a trinomial. 3((-7 + -6m)(5 + -1m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -6m)' equal to zero and attempt to solve: Simplifying -7 + -6m = 0 Solving -7 + -6m = 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 + -6m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6m = 0 + 7 -6m = 0 + 7 Combine like terms: 0 + 7 = 7 -6m = 7 Divide each side by '-6'. m = -1.166666667 Simplifying m = -1.166666667Subproblem 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 = {-1.166666667, 5}
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