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Simplifying m2 + -2m + -99 = 0 Reorder the terms: -99 + -2m + m2 = 0 Solving -99 + -2m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-9 + -1m)(11 + -1m) = 0Subproblem 1
Set the factor '(-9 + -1m)' equal to zero and attempt to solve: Simplifying -9 + -1m = 0 Solving -9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1m = 0 + 9 -1m = 0 + 9 Combine like terms: 0 + 9 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9Subproblem 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 = {-9, 11}
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