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Simplifying m2 = 19m + -88 Reorder the terms: m2 = -88 + 19m Solving m2 = -88 + 19m Solving for variable 'm'. Reorder the terms: 88 + -19m + m2 = -88 + 19m + 88 + -19m Reorder the terms: 88 + -19m + m2 = -88 + 88 + 19m + -19m Combine like terms: -88 + 88 = 0 88 + -19m + m2 = 0 + 19m + -19m 88 + -19m + m2 = 19m + -19m Combine like terms: 19m + -19m = 0 88 + -19m + m2 = 0 Factor a trinomial. (8 + -1m)(11 + -1m) = 0Subproblem 1
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Subproblem 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 = {8, 11}
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