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Simplifying n2 = 5n + -24 Reorder the terms: n2 = -24 + 5n Solving n2 = -24 + 5n Solving for variable 'n'. Reorder the terms: 24 + -5n + n2 = -24 + 5n + 24 + -5n Reorder the terms: 24 + -5n + n2 = -24 + 24 + 5n + -5n Combine like terms: -24 + 24 = 0 24 + -5n + n2 = 0 + 5n + -5n 24 + -5n + n2 = 5n + -5n Combine like terms: 5n + -5n = 0 24 + -5n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -5n + -24 + n2 = 0 + -24 Reorder the terms: 24 + -24 + -5n + n2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -5n + n2 = 0 + -24 -5n + n2 = 0 + -24 Combine like terms: 0 + -24 = -24 -5n + n2 = -24 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 = -24 + 6.25 Reorder the terms: 6.25 + -5n + n2 = -24 + 6.25 Combine like terms: -24 + 6.25 = -17.75 6.25 + -5n + n2 = -17.75 Factor a perfect square on the left side: (n + -2.5)(n + -2.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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