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Simplifying 11.1n2 + -27.5n + 99 = 0 Reorder the terms: 99 + -27.5n + 11.1n2 = 0 Solving 99 + -27.5n + 11.1n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 11.1 the coefficient of the squared term: Divide each side by '11.1'. 8.918918919 + -2.477477477n + n2 = 0 Move the constant term to the right: Add '-8.918918919' to each side of the equation. 8.918918919 + -2.477477477n + -8.918918919 + n2 = 0 + -8.918918919 Reorder the terms: 8.918918919 + -8.918918919 + -2.477477477n + n2 = 0 + -8.918918919 Combine like terms: 8.918918919 + -8.918918919 = 0.000000000 0.000000000 + -2.477477477n + n2 = 0 + -8.918918919 -2.477477477n + n2 = 0 + -8.918918919 Combine like terms: 0 + -8.918918919 = -8.918918919 -2.477477477n + n2 = -8.918918919 The n term is -2.477477477n. Take half its coefficient (-1.238738739). Square it (1.534473664) and add it to both sides. Add '1.534473664' to each side of the equation. -2.477477477n + 1.534473664 + n2 = -8.918918919 + 1.534473664 Reorder the terms: 1.534473664 + -2.477477477n + n2 = -8.918918919 + 1.534473664 Combine like terms: -8.918918919 + 1.534473664 = -7.384445255 1.534473664 + -2.477477477n + n2 = -7.384445255 Factor a perfect square on the left side: (n + -1.238738739)(n + -1.238738739) = -7.384445255 Can't calculate square root of the right side. The solution to this equation could not be determined.
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