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Simplifying n2 = 3n + -11 Reorder the terms: n2 = -11 + 3n Solving n2 = -11 + 3n Solving for variable 'n'. Reorder the terms: 11 + -3n + n2 = -11 + 3n + 11 + -3n Reorder the terms: 11 + -3n + n2 = -11 + 11 + 3n + -3n Combine like terms: -11 + 11 = 0 11 + -3n + n2 = 0 + 3n + -3n 11 + -3n + n2 = 3n + -3n Combine like terms: 3n + -3n = 0 11 + -3n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -3n + -11 + n2 = 0 + -11 Reorder the terms: 11 + -11 + -3n + n2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3n + n2 = 0 + -11 -3n + n2 = 0 + -11 Combine like terms: 0 + -11 = -11 -3n + n2 = -11 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 = -11 + 2.25 Reorder the terms: 2.25 + -3n + n2 = -11 + 2.25 Combine like terms: -11 + 2.25 = -8.75 2.25 + -3n + n2 = -8.75 Factor a perfect square on the left side: (n + -1.5)(n + -1.5) = -8.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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