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Simplifying 9n2 + 11n = -8 Reorder the terms: 11n + 9n2 = -8 Solving 11n + 9n2 = -8 Solving for variable 'n'. Reorder the terms: 8 + 11n + 9n2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 11n + 9n2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.8888888889 + 1.222222222n + n2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + 1.222222222n + -0.8888888889 + n2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + 1.222222222n + n2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + 1.222222222n + n2 = 0 + -0.8888888889 1.222222222n + n2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 1.222222222n + n2 = -0.8888888889 The n term is 1.222222222n. Take half its coefficient (0.611111111). Square it (0.3734567900) and add it to both sides. Add '0.3734567900' to each side of the equation. 1.222222222n + 0.3734567900 + n2 = -0.8888888889 + 0.3734567900 Reorder the terms: 0.3734567900 + 1.222222222n + n2 = -0.8888888889 + 0.3734567900 Combine like terms: -0.8888888889 + 0.3734567900 = -0.5154320989 0.3734567900 + 1.222222222n + n2 = -0.5154320989 Factor a perfect square on the left side: (n + 0.611111111)(n + 0.611111111) = -0.5154320989 Can't calculate square root of the right side. The solution to this equation could not be determined.
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