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Simplifying 15m2 + -82m + 99 = 0 Reorder the terms: 99 + -82m + 15m2 = 0 Solving 99 + -82m + 15m2 = 0 Solving for variable 'm'. Factor a trinomial. (9 + -5m)(11 + -3m) = 0Subproblem 1
Set the factor '(9 + -5m)' equal to zero and attempt to solve: Simplifying 9 + -5m = 0 Solving 9 + -5m = 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 + -5m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5m = 0 + -9 -5m = 0 + -9 Combine like terms: 0 + -9 = -9 -5m = -9 Divide each side by '-5'. m = 1.8 Simplifying m = 1.8Subproblem 2
Set the factor '(11 + -3m)' equal to zero and attempt to solve: Simplifying 11 + -3m = 0 Solving 11 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3m = 0 + -11 -3m = 0 + -11 Combine like terms: 0 + -11 = -11 -3m = -11 Divide each side by '-3'. m = 3.666666667 Simplifying m = 3.666666667Solution
m = {1.8, 3.666666667}
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