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Simplifying m2 + -12m + -28 = 0 Reorder the terms: -28 + -12m + m2 = 0 Solving -28 + -12m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -1m)(14 + -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 '(14 + -1m)' equal to zero and attempt to solve: Simplifying 14 + -1m = 0 Solving 14 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1m = 0 + -14 -1m = 0 + -14 Combine like terms: 0 + -14 = -14 -1m = -14 Divide each side by '-1'. m = 14 Simplifying m = 14Solution
m = {-2, 14}
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