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Simplifying 11n2 + 4n + 9 = 0 Reorder the terms: 9 + 4n + 11n2 = 0 Solving 9 + 4n + 11n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.8181818182 + 0.3636363636n + n2 = 0 Move the constant term to the right: Add '-0.8181818182' to each side of the equation. 0.8181818182 + 0.3636363636n + -0.8181818182 + n2 = 0 + -0.8181818182 Reorder the terms: 0.8181818182 + -0.8181818182 + 0.3636363636n + n2 = 0 + -0.8181818182 Combine like terms: 0.8181818182 + -0.8181818182 = 0.0000000000 0.0000000000 + 0.3636363636n + n2 = 0 + -0.8181818182 0.3636363636n + n2 = 0 + -0.8181818182 Combine like terms: 0 + -0.8181818182 = -0.8181818182 0.3636363636n + n2 = -0.8181818182 The n term is 0.3636363636n. Take half its coefficient (0.1818181818). Square it (0.03305785123) and add it to both sides. Add '0.03305785123' to each side of the equation. 0.3636363636n + 0.03305785123 + n2 = -0.8181818182 + 0.03305785123 Reorder the terms: 0.03305785123 + 0.3636363636n + n2 = -0.8181818182 + 0.03305785123 Combine like terms: -0.8181818182 + 0.03305785123 = -0.78512396697 0.03305785123 + 0.3636363636n + n2 = -0.78512396697 Factor a perfect square on the left side: (n + 0.1818181818)(n + 0.1818181818) = -0.78512396697 Can't calculate square root of the right side. The solution to this equation could not be determined.
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