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Simplifying 2n2 + 8 = 5n Reorder the terms: 8 + 2n2 = 5n Solving 8 + 2n2 = 5n Solving for variable 'n'. Reorder the terms: 8 + -5n + 2n2 = 5n + -5n Combine like terms: 5n + -5n = 0 8 + -5n + 2n2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4 + -2.5n + n2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2.5n + -4 + n2 = 0 + -4 Reorder the terms: 4 + -4 + -2.5n + n2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2.5n + n2 = 0 + -4 -2.5n + n2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2.5n + n2 = -4 The n term is -2.5n. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5n + 1.5625 + n2 = -4 + 1.5625 Reorder the terms: 1.5625 + -2.5n + n2 = -4 + 1.5625 Combine like terms: -4 + 1.5625 = -2.4375 1.5625 + -2.5n + n2 = -2.4375 Factor a perfect square on the left side: (n + -1.25)(n + -1.25) = -2.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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