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Simplifying 2n2 + -5n + 15 = 0 Reorder the terms: 15 + -5n + 2n2 = 0 Solving 15 + -5n + 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'. 7.5 + -2.5n + n2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + -2.5n + -7.5 + n2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + -2.5n + n2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -2.5n + n2 = 0 + -7.5 -2.5n + n2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -2.5n + n2 = -7.5 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 = -7.5 + 1.5625 Reorder the terms: 1.5625 + -2.5n + n2 = -7.5 + 1.5625 Combine like terms: -7.5 + 1.5625 = -5.9375 1.5625 + -2.5n + n2 = -5.9375 Factor a perfect square on the left side: (n + -1.25)(n + -1.25) = -5.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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