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Simplifying m2 + -9m + -13 = 9 Reorder the terms: -13 + -9m + m2 = 9 Solving -13 + -9m + m2 = 9 Solving for variable 'm'. Reorder the terms: -13 + -9 + -9m + m2 = 9 + -9 Combine like terms: -13 + -9 = -22 -22 + -9m + m2 = 9 + -9 Combine like terms: 9 + -9 = 0 -22 + -9m + m2 = 0 Factor a trinomial. (-2 + -1m)(11 + -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 '(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 = {-2, 11}
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