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Simplifying 8n2 + 11n + -2 = -12 Reorder the terms: -2 + 11n + 8n2 = -12 Solving -2 + 11n + 8n2 = -12 Solving for variable 'n'. Reorder the terms: -2 + 12 + 11n + 8n2 = -12 + 12 Combine like terms: -2 + 12 = 10 10 + 11n + 8n2 = -12 + 12 Combine like terms: -12 + 12 = 0 10 + 11n + 8n2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.25 + 1.375n + n2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 1.375n + -1.25 + n2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 1.375n + n2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 1.375n + n2 = 0 + -1.25 1.375n + n2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 1.375n + n2 = -1.25 The n term is 1.375n. Take half its coefficient (0.6875). Square it (0.47265625) and add it to both sides. Add '0.47265625' to each side of the equation. 1.375n + 0.47265625 + n2 = -1.25 + 0.47265625 Reorder the terms: 0.47265625 + 1.375n + n2 = -1.25 + 0.47265625 Combine like terms: -1.25 + 0.47265625 = -0.77734375 0.47265625 + 1.375n + n2 = -0.77734375 Factor a perfect square on the left side: (n + 0.6875)(n + 0.6875) = -0.77734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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