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Simplifying -9m2 + 60m + -19 = 0 Reorder the terms: -19 + 60m + -9m2 = 0 Solving -19 + 60m + -9m2 = 0 Solving for variable 'm'. Factor a trinomial. (-19 + 3m)(1 + -3m) = 0Subproblem 1
Set the factor '(-19 + 3m)' equal to zero and attempt to solve: Simplifying -19 + 3m = 0 Solving -19 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 3m = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 3m = 0 + 19 3m = 0 + 19 Combine like terms: 0 + 19 = 19 3m = 19 Divide each side by '3'. m = 6.333333333 Simplifying m = 6.333333333Subproblem 2
Set the factor '(1 + -3m)' equal to zero and attempt to solve: Simplifying 1 + -3m = 0 Solving 1 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 0 + -1 -3m = 0 + -1 Combine like terms: 0 + -1 = -1 -3m = -1 Divide each side by '-3'. m = 0.3333333333 Simplifying m = 0.3333333333Solution
m = {6.333333333, 0.3333333333}
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