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Simplifying -3n + 5.75 + n2 = 0 Reorder the terms: 5.75 + -3n + n2 = 0 Solving 5.75 + -3n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-5.75' to each side of the equation. 5.75 + -3n + -5.75 + n2 = 0 + -5.75 Reorder the terms: 5.75 + -5.75 + -3n + n2 = 0 + -5.75 Combine like terms: 5.75 + -5.75 = 0.00 0.00 + -3n + n2 = 0 + -5.75 -3n + n2 = 0 + -5.75 Combine like terms: 0 + -5.75 = -5.75 -3n + n2 = -5.75 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 = -5.75 + 2.25 Reorder the terms: 2.25 + -3n + n2 = -5.75 + 2.25 Combine like terms: -5.75 + 2.25 = -3.5 2.25 + -3n + n2 = -3.5 Factor a perfect square on the left side: (n + -1.5)(n + -1.5) = -3.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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