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Simplifying 11n2 + -9n + 4 = 0 Reorder the terms: 4 + -9n + 11n2 = 0 Solving 4 + -9n + 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'. 0.3636363636 + -0.8181818182n + n2 = 0 Move the constant term to the right: Add '-0.3636363636' to each side of the equation. 0.3636363636 + -0.8181818182n + -0.3636363636 + n2 = 0 + -0.3636363636 Reorder the terms: 0.3636363636 + -0.3636363636 + -0.8181818182n + n2 = 0 + -0.3636363636 Combine like terms: 0.3636363636 + -0.3636363636 = 0.0000000000 0.0000000000 + -0.8181818182n + n2 = 0 + -0.3636363636 -0.8181818182n + n2 = 0 + -0.3636363636 Combine like terms: 0 + -0.3636363636 = -0.3636363636 -0.8181818182n + n2 = -0.3636363636 The n term is -0.8181818182n. Take half its coefficient (-0.4090909091). Square it (0.1673553719) and add it to both sides. Add '0.1673553719' to each side of the equation. -0.8181818182n + 0.1673553719 + n2 = -0.3636363636 + 0.1673553719 Reorder the terms: 0.1673553719 + -0.8181818182n + n2 = -0.3636363636 + 0.1673553719 Combine like terms: -0.3636363636 + 0.1673553719 = -0.1962809917 0.1673553719 + -0.8181818182n + n2 = -0.1962809917 Factor a perfect square on the left side: (n + -0.4090909091)(n + -0.4090909091) = -0.1962809917 Can't calculate square root of the right side. The solution to this equation could not be determined.
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