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Simplifying 3 + 9n2 + 26n + 24 = 0 Reorder the terms: 3 + 24 + 26n + 9n2 = 0 Combine like terms: 3 + 24 = 27 27 + 26n + 9n2 = 0 Solving 27 + 26n + 9n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 3 + 2.888888889n + n2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 2.888888889n + -3 + n2 = 0 + -3 Reorder the terms: 3 + -3 + 2.888888889n + n2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2.888888889n + n2 = 0 + -3 2.888888889n + n2 = 0 + -3 Combine like terms: 0 + -3 = -3 2.888888889n + n2 = -3 The n term is 2.888888889n. Take half its coefficient (1.444444445). Square it (2.086419755) and add it to both sides. Add '2.086419755' to each side of the equation. 2.888888889n + 2.086419755 + n2 = -3 + 2.086419755 Reorder the terms: 2.086419755 + 2.888888889n + n2 = -3 + 2.086419755 Combine like terms: -3 + 2.086419755 = -0.913580245 2.086419755 + 2.888888889n + n2 = -0.913580245 Factor a perfect square on the left side: (n + 1.444444445)(n + 1.444444445) = -0.913580245 Can't calculate square root of the right side. The solution to this equation could not be determined.
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