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Simplifying 11n2 + -8n + 2 = 0 Reorder the terms: 2 + -8n + 11n2 = 0 Solving 2 + -8n + 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'. 0.1818181818 + -0.7272727273n + n2 = 0 Move the constant term to the right: Add '-0.1818181818' to each side of the equation. 0.1818181818 + -0.7272727273n + -0.1818181818 + n2 = 0 + -0.1818181818 Reorder the terms: 0.1818181818 + -0.1818181818 + -0.7272727273n + n2 = 0 + -0.1818181818 Combine like terms: 0.1818181818 + -0.1818181818 = 0.0000000000 0.0000000000 + -0.7272727273n + n2 = 0 + -0.1818181818 -0.7272727273n + n2 = 0 + -0.1818181818 Combine like terms: 0 + -0.1818181818 = -0.1818181818 -0.7272727273n + n2 = -0.1818181818 The n term is -0.7272727273n. Take half its coefficient (-0.3636363637). Square it (0.1322314050) and add it to both sides. Add '0.1322314050' to each side of the equation. -0.7272727273n + 0.1322314050 + n2 = -0.1818181818 + 0.1322314050 Reorder the terms: 0.1322314050 + -0.7272727273n + n2 = -0.1818181818 + 0.1322314050 Combine like terms: -0.1818181818 + 0.1322314050 = -0.0495867768 0.1322314050 + -0.7272727273n + n2 = -0.0495867768 Factor a perfect square on the left side: (n + -0.3636363637)(n + -0.3636363637) = -0.0495867768 Can't calculate square root of the right side. The solution to this equation could not be determined.
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