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Simplifying 0 = m2 + 22m + 120 Reorder the terms: 0 = 120 + 22m + m2 Solving 0 = 120 + 22m + m2 Solving for variable 'm'. Combine like terms: 0 + -120 = -120 -120 + -22m + -1m2 = 120 + 22m + m2 + -120 + -22m + -1m2 Reorder the terms: -120 + -22m + -1m2 = 120 + -120 + 22m + -22m + m2 + -1m2 Combine like terms: 120 + -120 = 0 -120 + -22m + -1m2 = 0 + 22m + -22m + m2 + -1m2 -120 + -22m + -1m2 = 22m + -22m + m2 + -1m2 Combine like terms: 22m + -22m = 0 -120 + -22m + -1m2 = 0 + m2 + -1m2 -120 + -22m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -120 + -22m + -1m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(120 + 22m + m2) = 0 Factor a trinomial. -1((12 + m)(10 + m)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(12 + m)' equal to zero and attempt to solve: Simplifying 12 + m = 0 Solving 12 + m = 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 + m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + m = 0 + -12 m = 0 + -12 Combine like terms: 0 + -12 = -12 m = -12 Simplifying m = -12Subproblem 2
Set the factor '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10Solution
m = {-12, -10}
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