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Simplifying n2 + -3n + 26 = 0 Reorder the terms: 26 + -3n + n2 = 0 Solving 26 + -3n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + -3n + -26 + n2 = 0 + -26 Reorder the terms: 26 + -26 + -3n + n2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -3n + n2 = 0 + -26 -3n + n2 = 0 + -26 Combine like terms: 0 + -26 = -26 -3n + n2 = -26 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 = -26 + 2.25 Reorder the terms: 2.25 + -3n + n2 = -26 + 2.25 Combine like terms: -26 + 2.25 = -23.75 2.25 + -3n + n2 = -23.75 Factor a perfect square on the left side: (n + -1.5)(n + -1.5) = -23.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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