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Simplifying -1m2 + 23m + -132 = 0 Reorder the terms: -132 + 23m + -1m2 = 0 Solving -132 + 23m + -1m2 = 0 Solving for variable 'm'. Factor a trinomial. (-12 + m)(11 + -1m) = 0Subproblem 1
Set the factor '(-12 + m)' equal to zero and attempt to solve: Simplifying -12 + m = 0 Solving -12 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + m = 0 + 12 m = 0 + 12 Combine like terms: 0 + 12 = 12 m = 12 Simplifying m = 12Subproblem 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 = {12, 11}
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