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Simplifying m2 + -12m + 33 = -2 Reorder the terms: 33 + -12m + m2 = -2 Solving 33 + -12m + m2 = -2 Solving for variable 'm'. Reorder the terms: 33 + 2 + -12m + m2 = -2 + 2 Combine like terms: 33 + 2 = 35 35 + -12m + m2 = -2 + 2 Combine like terms: -2 + 2 = 0 35 + -12m + m2 = 0 Factor a trinomial. (5 + -1m)(7 + -1m) = 0Subproblem 1
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Subproblem 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 = {5, 7}
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