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Simplifying 2n2 + n + 10 = 0 Reorder the terms: 10 + n + 2n2 = 0 Solving 10 + n + 2n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5 + 0.5n + n2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + 0.5n + -5 + n2 = 0 + -5 Reorder the terms: 5 + -5 + 0.5n + n2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 0.5n + n2 = 0 + -5 0.5n + n2 = 0 + -5 Combine like terms: 0 + -5 = -5 0.5n + n2 = -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 = -5 + 0.25 Reorder the terms: 0.25 + 0.5n + n2 = -5 + 0.25 Combine like terms: -5 + 0.25 = -4.75 0.25 + 0.5n + n2 = -4.75 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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