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Simplifying 2n2 = -11 + 6n Solving 2n2 = -11 + 6n Solving for variable 'n'. Reorder the terms: 11 + -6n + 2n2 = -11 + 6n + 11 + -6n Reorder the terms: 11 + -6n + 2n2 = -11 + 11 + 6n + -6n Combine like terms: -11 + 11 = 0 11 + -6n + 2n2 = 0 + 6n + -6n 11 + -6n + 2n2 = 6n + -6n Combine like terms: 6n + -6n = 0 11 + -6n + 2n2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5.5 + -3n + n2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + -3n + -5.5 + n2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + -3n + n2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -3n + n2 = 0 + -5.5 -3n + n2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 -3n + n2 = -5.5 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 = -5.5 + 2.25 Reorder the terms: 2.25 + -3n + n2 = -5.5 + 2.25 Combine like terms: -5.5 + 2.25 = -3.25 2.25 + -3n + n2 = -3.25 Factor a perfect square on the left side: (n + -1.5)(n + -1.5) = -3.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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