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Simplifying m2 + 10 = 15m + -34 Reorder the terms: 10 + m2 = 15m + -34 Reorder the terms: 10 + m2 = -34 + 15m Solving 10 + m2 = -34 + 15m Solving for variable 'm'. Reorder the terms: 10 + 34 + -15m + m2 = -34 + 15m + 34 + -15m Combine like terms: 10 + 34 = 44 44 + -15m + m2 = -34 + 15m + 34 + -15m Reorder the terms: 44 + -15m + m2 = -34 + 34 + 15m + -15m Combine like terms: -34 + 34 = 0 44 + -15m + m2 = 0 + 15m + -15m 44 + -15m + m2 = 15m + -15m Combine like terms: 15m + -15m = 0 44 + -15m + m2 = 0 Factor a trinomial. (4 + -1m)(11 + -1m) = 0Subproblem 1
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Subproblem 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 = {4, 11}
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