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Simplifying n2 = 0 + -5n + -14 Reorder the terms: n2 = 0 + -14 + -5n Combine like terms: 0 + -14 = -14 n2 = -14 + -5n Solving n2 = -14 + -5n Solving for variable 'n'. Reorder the terms: 14 + 5n + n2 = -14 + -5n + 14 + 5n Reorder the terms: 14 + 5n + n2 = -14 + 14 + -5n + 5n Combine like terms: -14 + 14 = 0 14 + 5n + n2 = 0 + -5n + 5n 14 + 5n + n2 = -5n + 5n Combine like terms: -5n + 5n = 0 14 + 5n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + 5n + -14 + n2 = 0 + -14 Reorder the terms: 14 + -14 + 5n + n2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5n + n2 = 0 + -14 5n + n2 = 0 + -14 Combine like terms: 0 + -14 = -14 5n + n2 = -14 The n term is 5n. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5n + 6.25 + n2 = -14 + 6.25 Reorder the terms: 6.25 + 5n + n2 = -14 + 6.25 Combine like terms: -14 + 6.25 = -7.75 6.25 + 5n + n2 = -7.75 Factor a perfect square on the left side: (n + 2.5)(n + 2.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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