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Simplifying 2n2 + -1n + 11 = 0 Reorder the terms: 11 + -1n + 2n2 = 0 Solving 11 + -1n + 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'. 5.5 + -0.5n + n2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + -0.5n + -5.5 + n2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + -0.5n + n2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -0.5n + n2 = 0 + -5.5 -0.5n + n2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 -0.5n + n2 = -5.5 The n term is -0.5n. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5n + 0.0625 + n2 = -5.5 + 0.0625 Reorder the terms: 0.0625 + -0.5n + n2 = -5.5 + 0.0625 Combine like terms: -5.5 + 0.0625 = -5.4375 0.0625 + -0.5n + n2 = -5.4375 Factor a perfect square on the left side: (n + -0.25)(n + -0.25) = -5.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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