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Simplifying m2 = -14 + 9m Solving m2 = -14 + 9m Solving for variable 'm'. Reorder the terms: 14 + -9m + m2 = -14 + 9m + 14 + -9m Reorder the terms: 14 + -9m + m2 = -14 + 14 + 9m + -9m Combine like terms: -14 + 14 = 0 14 + -9m + m2 = 0 + 9m + -9m 14 + -9m + m2 = 9m + -9m Combine like terms: 9m + -9m = 0 14 + -9m + m2 = 0 Factor a trinomial. (2 + -1m)(7 + -1m) = 0Subproblem 1
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 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 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {2, 7}
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