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Simplifying m2 + -12m + -73 = -9 Reorder the terms: -73 + -12m + m2 = -9 Solving -73 + -12m + m2 = -9 Solving for variable 'm'. Reorder the terms: -73 + 9 + -12m + m2 = -9 + 9 Combine like terms: -73 + 9 = -64 -64 + -12m + m2 = -9 + 9 Combine like terms: -9 + 9 = 0 -64 + -12m + m2 = 0 Factor a trinomial. (-4 + -1m)(16 + -1m) = 0Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve: Simplifying -4 + -1m = 0 Solving -4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1m = 0 + 4 -1m = 0 + 4 Combine like terms: 0 + 4 = 4 -1m = 4 Divide each side by '-1'. m = -4 Simplifying m = -4Subproblem 2
Set the factor '(16 + -1m)' equal to zero and attempt to solve: Simplifying 16 + -1m = 0 Solving 16 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1m = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1m = 0 + -16 -1m = 0 + -16 Combine like terms: 0 + -16 = -16 -1m = -16 Divide each side by '-1'. m = 16 Simplifying m = 16Solution
m = {-4, 16}
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