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Simplifying m2 + -7m + -60 = 0 Reorder the terms: -60 + -7m + m2 = 0 Solving -60 + -7m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -1m)(12 + -1m) = 0Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 2
Set the factor '(12 + -1m)' equal to zero and attempt to solve: Simplifying 12 + -1m = 0 Solving 12 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = 0 + -12 -1m = 0 + -12 Combine like terms: 0 + -12 = -12 -1m = -12 Divide each side by '-1'. m = 12 Simplifying m = 12Solution
m = {-5, 12}
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