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Simplifying 0 = m2 + 20m + 51 Reorder the terms: 0 = 51 + 20m + m2 Solving 0 = 51 + 20m + m2 Solving for variable 'm'. Combine like terms: 0 + -51 = -51 -51 + -20m + -1m2 = 51 + 20m + m2 + -51 + -20m + -1m2 Reorder the terms: -51 + -20m + -1m2 = 51 + -51 + 20m + -20m + m2 + -1m2 Combine like terms: 51 + -51 = 0 -51 + -20m + -1m2 = 0 + 20m + -20m + m2 + -1m2 -51 + -20m + -1m2 = 20m + -20m + m2 + -1m2 Combine like terms: 20m + -20m = 0 -51 + -20m + -1m2 = 0 + m2 + -1m2 -51 + -20m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -51 + -20m + -1m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(51 + 20m + m2) = 0 Factor a trinomial. -1((17 + m)(3 + m)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(17 + m)' equal to zero and attempt to solve: Simplifying 17 + m = 0 Solving 17 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + m = 0 + -17 Combine like terms: 17 + -17 = 0 0 + m = 0 + -17 m = 0 + -17 Combine like terms: 0 + -17 = -17 m = -17 Simplifying m = -17Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Solution
m = {-17, -3}
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