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Simplifying 5n + n2 + 420 = 0 Reorder the terms: 420 + 5n + n2 = 0 Solving 420 + 5n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-420' to each side of the equation. 420 + 5n + -420 + n2 = 0 + -420 Reorder the terms: 420 + -420 + 5n + n2 = 0 + -420 Combine like terms: 420 + -420 = 0 0 + 5n + n2 = 0 + -420 5n + n2 = 0 + -420 Combine like terms: 0 + -420 = -420 5n + n2 = -420 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 = -420 + 6.25 Reorder the terms: 6.25 + 5n + n2 = -420 + 6.25 Combine like terms: -420 + 6.25 = -413.75 6.25 + 5n + n2 = -413.75 Factor a perfect square on the left side: (n + 2.5)(n + 2.5) = -413.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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