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Simplifying 8n2 + 10n + 15 = 0 Reorder the terms: 15 + 10n + 8n2 = 0 Solving 15 + 10n + 8n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.875 + 1.25n + n2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + 1.25n + -1.875 + n2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + 1.25n + n2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + 1.25n + n2 = 0 + -1.875 1.25n + n2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 1.25n + n2 = -1.875 The n term is 1.25n. Take half its coefficient (0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. 1.25n + 0.390625 + n2 = -1.875 + 0.390625 Reorder the terms: 0.390625 + 1.25n + n2 = -1.875 + 0.390625 Combine like terms: -1.875 + 0.390625 = -1.484375 0.390625 + 1.25n + n2 = -1.484375 Factor a perfect square on the left side: (n + 0.625)(n + 0.625) = -1.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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