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Simplifying n2 + 24n + 585 = 0 Reorder the terms: 585 + 24n + n2 = 0 Solving 585 + 24n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-585' to each side of the equation. 585 + 24n + -585 + n2 = 0 + -585 Reorder the terms: 585 + -585 + 24n + n2 = 0 + -585 Combine like terms: 585 + -585 = 0 0 + 24n + n2 = 0 + -585 24n + n2 = 0 + -585 Combine like terms: 0 + -585 = -585 24n + n2 = -585 The n term is 24n. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24n + 144 + n2 = -585 + 144 Reorder the terms: 144 + 24n + n2 = -585 + 144 Combine like terms: -585 + 144 = -441 144 + 24n + n2 = -441 Factor a perfect square on the left side: (n + 12)(n + 12) = -441 Can't calculate square root of the right side. The solution to this equation could not be determined.
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