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Simplifying 27m = 10m + -1m2 + 138 Reorder the terms: 27m = 138 + 10m + -1m2 Solving 27m = 138 + 10m + -1m2 Solving for variable 'm'. Reorder the terms: -138 + 27m + -10m + m2 = 138 + 10m + -1m2 + -138 + -10m + m2 Combine like terms: 27m + -10m = 17m -138 + 17m + m2 = 138 + 10m + -1m2 + -138 + -10m + m2 Reorder the terms: -138 + 17m + m2 = 138 + -138 + 10m + -10m + -1m2 + m2 Combine like terms: 138 + -138 = 0 -138 + 17m + m2 = 0 + 10m + -10m + -1m2 + m2 -138 + 17m + m2 = 10m + -10m + -1m2 + m2 Combine like terms: 10m + -10m = 0 -138 + 17m + m2 = 0 + -1m2 + m2 -138 + 17m + m2 = -1m2 + m2 Combine like terms: -1m2 + m2 = 0 -138 + 17m + m2 = 0 Factor a trinomial. (-23 + -1m)(6 + -1m) = 0Subproblem 1
Set the factor '(-23 + -1m)' equal to zero and attempt to solve: Simplifying -23 + -1m = 0 Solving -23 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -1m = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1m = 0 + 23 -1m = 0 + 23 Combine like terms: 0 + 23 = 23 -1m = 23 Divide each side by '-1'. m = -23 Simplifying m = -23Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {-23, 6}
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