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Simplifying 8n2 = -4n + -5 Reorder the terms: 8n2 = -5 + -4n Solving 8n2 = -5 + -4n Solving for variable 'n'. Reorder the terms: 5 + 4n + 8n2 = -5 + -4n + 5 + 4n Reorder the terms: 5 + 4n + 8n2 = -5 + 5 + -4n + 4n Combine like terms: -5 + 5 = 0 5 + 4n + 8n2 = 0 + -4n + 4n 5 + 4n + 8n2 = -4n + 4n Combine like terms: -4n + 4n = 0 5 + 4n + 8n2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + 0.5n + n2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + 0.5n + -0.625 + n2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + 0.5n + n2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 0.5n + n2 = 0 + -0.625 0.5n + n2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 0.5n + n2 = -0.625 The n term is 0.5n. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5n + 0.0625 + n2 = -0.625 + 0.0625 Reorder the terms: 0.0625 + 0.5n + n2 = -0.625 + 0.0625 Combine like terms: -0.625 + 0.0625 = -0.5625 0.0625 + 0.5n + n2 = -0.5625 Factor a perfect square on the left side: (n + 0.25)(n + 0.25) = -0.5625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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