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Simplifying 2n2 + -18n + 93 = 0 Reorder the terms: 93 + -18n + 2n2 = 0 Solving 93 + -18n + 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'. 46.5 + -9n + n2 = 0 Move the constant term to the right: Add '-46.5' to each side of the equation. 46.5 + -9n + -46.5 + n2 = 0 + -46.5 Reorder the terms: 46.5 + -46.5 + -9n + n2 = 0 + -46.5 Combine like terms: 46.5 + -46.5 = 0.0 0.0 + -9n + n2 = 0 + -46.5 -9n + n2 = 0 + -46.5 Combine like terms: 0 + -46.5 = -46.5 -9n + n2 = -46.5 The n term is -9n. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9n + 20.25 + n2 = -46.5 + 20.25 Reorder the terms: 20.25 + -9n + n2 = -46.5 + 20.25 Combine like terms: -46.5 + 20.25 = -26.25 20.25 + -9n + n2 = -26.25 Factor a perfect square on the left side: (n + -4.5)(n + -4.5) = -26.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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