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Simplifying n2 + (3n + 18) = 0 Reorder the terms: n2 + (18 + 3n) = 0 Remove parenthesis around (18 + 3n) n2 + 18 + 3n = 0 Reorder the terms: 18 + 3n + n2 = 0 Solving 18 + 3n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + 3n + -18 + n2 = 0 + -18 Reorder the terms: 18 + -18 + 3n + n2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3n + n2 = 0 + -18 3n + n2 = 0 + -18 Combine like terms: 0 + -18 = -18 3n + n2 = -18 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 = -18 + 2.25 Reorder the terms: 2.25 + 3n + n2 = -18 + 2.25 Combine like terms: -18 + 2.25 = -15.75 2.25 + 3n + n2 = -15.75 Factor a perfect square on the left side: (n + 1.5)(n + 1.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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