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Simplifying 4n2 + -8n + 11 = 0 Reorder the terms: 11 + -8n + 4n2 = 0 Solving 11 + -8n + 4n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.75 + -2n + n2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -2n + -2.75 + n2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + -2n + n2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -2n + n2 = 0 + -2.75 -2n + n2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 -2n + n2 = -2.75 The n term is -2n. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2n + 1 + n2 = -2.75 + 1 Reorder the terms: 1 + -2n + n2 = -2.75 + 1 Combine like terms: -2.75 + 1 = -1.75 1 + -2n + n2 = -1.75 Factor a perfect square on the left side: (n + -1)(n + -1) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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