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Simplifying -314.5 + -3n + -1n2 = 0 Solving -314.5 + -3n + -1n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 314.5 + 3n + n2 = 0 Move the constant term to the right: Add '-314.5' to each side of the equation. 314.5 + 3n + -314.5 + n2 = 0 + -314.5 Reorder the terms: 314.5 + -314.5 + 3n + n2 = 0 + -314.5 Combine like terms: 314.5 + -314.5 = 0.0 0.0 + 3n + n2 = 0 + -314.5 3n + n2 = 0 + -314.5 Combine like terms: 0 + -314.5 = -314.5 3n + n2 = -314.5 The n term is 3n. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3n + 2.25 + n2 = -314.5 + 2.25 Reorder the terms: 2.25 + 3n + n2 = -314.5 + 2.25 Combine like terms: -314.5 + 2.25 = -312.25 2.25 + 3n + n2 = -312.25 Factor a perfect square on the left side: (n + 1.5)(n + 1.5) = -312.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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