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Simplifying m2 + -13m = 30 Reorder the terms: -13m + m2 = 30 Solving -13m + m2 = 30 Solving for variable 'm'. Reorder the terms: -30 + -13m + m2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + -13m + m2 = 0 Factor a trinomial. (-2 + -1m)(15 + -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 '(15 + -1m)' equal to zero and attempt to solve: Simplifying 15 + -1m = 0 Solving 15 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1m = 0 + -15 -1m = 0 + -15 Combine like terms: 0 + -15 = -15 -1m = -15 Divide each side by '-1'. m = 15 Simplifying m = 15Solution
m = {-2, 15}
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