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Simplifying 9n2 + 5 = -11n Reorder the terms: 5 + 9n2 = -11n Solving 5 + 9n2 = -11n Solving for variable 'n'. Reorder the terms: 5 + 11n + 9n2 = -11n + 11n Combine like terms: -11n + 11n = 0 5 + 11n + 9n2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + 1.222222222n + n2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + 1.222222222n + -0.5555555556 + n2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + 1.222222222n + n2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + 1.222222222n + n2 = 0 + -0.5555555556 1.222222222n + n2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 1.222222222n + n2 = -0.5555555556 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 = -0.5555555556 + 0.3734567900 Reorder the terms: 0.3734567900 + 1.222222222n + n2 = -0.5555555556 + 0.3734567900 Combine like terms: -0.5555555556 + 0.3734567900 = -0.1820987656 0.3734567900 + 1.222222222n + n2 = -0.1820987656 Factor a perfect square on the left side: (n + 0.611111111)(n + 0.611111111) = -0.1820987656 Can't calculate square root of the right side. The solution to this equation could not be determined.
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