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Simplifying n2 + -11n + 38 = 0 Reorder the terms: 38 + -11n + n2 = 0 Solving 38 + -11n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-38' to each side of the equation. 38 + -11n + -38 + n2 = 0 + -38 Reorder the terms: 38 + -38 + -11n + n2 = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -11n + n2 = 0 + -38 -11n + n2 = 0 + -38 Combine like terms: 0 + -38 = -38 -11n + n2 = -38 The n term is -11n. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11n + 30.25 + n2 = -38 + 30.25 Reorder the terms: 30.25 + -11n + n2 = -38 + 30.25 Combine like terms: -38 + 30.25 = -7.75 30.25 + -11n + n2 = -7.75 Factor a perfect square on the left side: (n + -5.5)(n + -5.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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