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Simplifying n + 5 = 2n(-1n) Reorder the terms: 5 + n = 2n(-1n) Remove parenthesis around (-1n) 5 + n = 2n * -1n Reorder the terms for easier multiplication: 5 + n = 2 * -1n * n Multiply 2 * -1 5 + n = -2n * n Multiply n * n 5 + n = -2n2 Solving 5 + n = -2n2 Solving for variable 'n'. Combine like terms: -2n2 + 2n2 = 0 5 + n + 2n2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + 0.5n + n2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 0.5n + -2.5 + n2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 0.5n + n2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.5n + n2 = 0 + -2.5 0.5n + n2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 0.5n + n2 = -2.5 The n term is n. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5n + 0.25 + n2 = -2.5 + 0.25 Reorder the terms: 0.25 + 0.5n + n2 = -2.5 + 0.25 Combine like terms: -2.5 + 0.25 = -2.25 0.25 + 0.5n + n2 = -2.25 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -2.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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