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Simplifying 2n2 + 11n + 18 = 0 Reorder the terms: 18 + 11n + 2n2 = 0 Solving 18 + 11n + 2n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 9 + 5.5n + n2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + 5.5n + -9 + n2 = 0 + -9 Reorder the terms: 9 + -9 + 5.5n + n2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5.5n + n2 = 0 + -9 5.5n + n2 = 0 + -9 Combine like terms: 0 + -9 = -9 5.5n + n2 = -9 The n term is 5.5n. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5n + 7.5625 + n2 = -9 + 7.5625 Reorder the terms: 7.5625 + 5.5n + n2 = -9 + 7.5625 Combine like terms: -9 + 7.5625 = -1.4375 7.5625 + 5.5n + n2 = -1.4375 Factor a perfect square on the left side: (n + 2.75)(n + 2.75) = -1.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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