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Simplifying n2 + n = -9 Reorder the terms: n + n2 = -9 Solving n + n2 = -9 Solving for variable 'n'. Reorder the terms: 9 + n + n2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + n + -9 + n2 = 0 + -9 Reorder the terms: 9 + -9 + n + n2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + n + n2 = 0 + -9 n + n2 = 0 + -9 Combine like terms: 0 + -9 = -9 n + n2 = -9 The n term is n. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. n + 0.25 + n2 = -9 + 0.25 Reorder the terms: 0.25 + n + n2 = -9 + 0.25 Combine like terms: -9 + 0.25 = -8.75 0.25 + n + n2 = -8.75 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -8.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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