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Simplifying n2 + n + 17 = 0 Reorder the terms: 17 + n + n2 = 0 Solving 17 + n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + n + -17 + n2 = 0 + -17 Reorder the terms: 17 + -17 + n + n2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + n + n2 = 0 + -17 n + n2 = 0 + -17 Combine like terms: 0 + -17 = -17 n + n2 = -17 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 = -17 + 0.25 Reorder the terms: 0.25 + n + n2 = -17 + 0.25 Combine like terms: -17 + 0.25 = -16.75 0.25 + n + n2 = -16.75 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -16.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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