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Simplifying 85n + -5n2 = 14499 Solving 85n + -5n2 = 14499 Solving for variable 'n'. Reorder the terms: -14499 + 85n + -5n2 = 14499 + -14499 Combine like terms: 14499 + -14499 = 0 -14499 + 85n + -5n2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2899.8 + -17n + n2 = 0 Move the constant term to the right: Add '-2899.8' to each side of the equation. 2899.8 + -17n + -2899.8 + n2 = 0 + -2899.8 Reorder the terms: 2899.8 + -2899.8 + -17n + n2 = 0 + -2899.8 Combine like terms: 2899.8 + -2899.8 = 0.0 0.0 + -17n + n2 = 0 + -2899.8 -17n + n2 = 0 + -2899.8 Combine like terms: 0 + -2899.8 = -2899.8 -17n + n2 = -2899.8 The n term is -17n. Take half its coefficient (-8.5). Square it (72.25) and add it to both sides. Add '72.25' to each side of the equation. -17n + 72.25 + n2 = -2899.8 + 72.25 Reorder the terms: 72.25 + -17n + n2 = -2899.8 + 72.25 Combine like terms: -2899.8 + 72.25 = -2827.55 72.25 + -17n + n2 = -2827.55 Factor a perfect square on the left side: (n + -8.5)(n + -8.5) = -2827.55 Can't calculate square root of the right side. The solution to this equation could not be determined.
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