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Simplifying m2 + -20m + 60 = 9 Reorder the terms: 60 + -20m + m2 = 9 Solving 60 + -20m + m2 = 9 Solving for variable 'm'. Reorder the terms: 60 + -9 + -20m + m2 = 9 + -9 Combine like terms: 60 + -9 = 51 51 + -20m + m2 = 9 + -9 Combine like terms: 9 + -9 = 0 51 + -20m + m2 = 0 Factor a trinomial. (3 + -1m)(17 + -1m) = 0Subproblem 1
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Subproblem 2
Set the factor '(17 + -1m)' equal to zero and attempt to solve: Simplifying 17 + -1m = 0 Solving 17 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1m = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1m = 0 + -17 -1m = 0 + -17 Combine like terms: 0 + -17 = -17 -1m = -17 Divide each side by '-1'. m = 17 Simplifying m = 17Solution
m = {3, 17}
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