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Simplifying n2 + 7n + 12.25 = -92 Reorder the terms: 12.25 + 7n + n2 = -92 Solving 12.25 + 7n + n2 = -92 Solving for variable 'n'. Reorder the terms: 12.25 + 92 + 7n + n2 = -92 + 92 Combine like terms: 12.25 + 92 = 104.25 104.25 + 7n + n2 = -92 + 92 Combine like terms: -92 + 92 = 0 104.25 + 7n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-104.25' to each side of the equation. 104.25 + 7n + -104.25 + n2 = 0 + -104.25 Reorder the terms: 104.25 + -104.25 + 7n + n2 = 0 + -104.25 Combine like terms: 104.25 + -104.25 = 0.00 0.00 + 7n + n2 = 0 + -104.25 7n + n2 = 0 + -104.25 Combine like terms: 0 + -104.25 = -104.25 7n + n2 = -104.25 The n term is 7n. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7n + 12.25 + n2 = -104.25 + 12.25 Reorder the terms: 12.25 + 7n + n2 = -104.25 + 12.25 Combine like terms: -104.25 + 12.25 = -92 12.25 + 7n + n2 = -92 Factor a perfect square on the left side: (n + 3.5)(n + 3.5) = -92 Can't calculate square root of the right side. The solution to this equation could not be determined.
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