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Simplifying -11n2 = 9 + -2n Solving -11n2 = 9 + -2n Solving for variable 'n'. Reorder the terms: -9 + 2n + -11n2 = 9 + -2n + -9 + 2n Reorder the terms: -9 + 2n + -11n2 = 9 + -9 + -2n + 2n Combine like terms: 9 + -9 = 0 -9 + 2n + -11n2 = 0 + -2n + 2n -9 + 2n + -11n2 = -2n + 2n Combine like terms: -2n + 2n = 0 -9 + 2n + -11n2 = 0 Begin completing the square. Divide all terms by -11 the coefficient of the squared term: Divide each side by '-11'. 0.8181818182 + -0.1818181818n + n2 = 0 Move the constant term to the right: Add '-0.8181818182' to each side of the equation. 0.8181818182 + -0.1818181818n + -0.8181818182 + n2 = 0 + -0.8181818182 Reorder the terms: 0.8181818182 + -0.8181818182 + -0.1818181818n + n2 = 0 + -0.8181818182 Combine like terms: 0.8181818182 + -0.8181818182 = 0.0000000000 0.0000000000 + -0.1818181818n + n2 = 0 + -0.8181818182 -0.1818181818n + n2 = 0 + -0.8181818182 Combine like terms: 0 + -0.8181818182 = -0.8181818182 -0.1818181818n + n2 = -0.8181818182 The n term is -0.1818181818n. Take half its coefficient (-0.0909090909). Square it (0.008264462808) and add it to both sides. Add '0.008264462808' to each side of the equation. -0.1818181818n + 0.008264462808 + n2 = -0.8181818182 + 0.008264462808 Reorder the terms: 0.008264462808 + -0.1818181818n + n2 = -0.8181818182 + 0.008264462808 Combine like terms: -0.8181818182 + 0.008264462808 = -0.809917355392 0.008264462808 + -0.1818181818n + n2 = -0.809917355392 Factor a perfect square on the left side: (n + -0.0909090909)(n + -0.0909090909) = -0.809917355392 Can't calculate square root of the right side. The solution to this equation could not be determined.
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