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Simplifying m2 + -14m + 15 = -18 Reorder the terms: 15 + -14m + m2 = -18 Solving 15 + -14m + m2 = -18 Solving for variable 'm'. Reorder the terms: 15 + 18 + -14m + m2 = -18 + 18 Combine like terms: 15 + 18 = 33 33 + -14m + m2 = -18 + 18 Combine like terms: -18 + 18 = 0 33 + -14m + m2 = 0 Factor a trinomial. (3 + -1m)(11 + -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 '(11 + -1m)' equal to zero and attempt to solve: Simplifying 11 + -1m = 0 Solving 11 + -1m = 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 + -1m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1m = 0 + -11 -1m = 0 + -11 Combine like terms: 0 + -11 = -11 -1m = -11 Divide each side by '-1'. m = 11 Simplifying m = 11Solution
m = {3, 11}
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