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Simplifying 9n2 + 10 = -8n Reorder the terms: 10 + 9n2 = -8n Solving 10 + 9n2 = -8n Solving for variable 'n'. Reorder the terms: 10 + 8n + 9n2 = -8n + 8n Combine like terms: -8n + 8n = 0 10 + 8n + 9n2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.111111111 + 0.8888888889n + n2 = 0 Move the constant term to the right: Add '-1.111111111' to each side of the equation. 1.111111111 + 0.8888888889n + -1.111111111 + n2 = 0 + -1.111111111 Reorder the terms: 1.111111111 + -1.111111111 + 0.8888888889n + n2 = 0 + -1.111111111 Combine like terms: 1.111111111 + -1.111111111 = 0.000000000 0.000000000 + 0.8888888889n + n2 = 0 + -1.111111111 0.8888888889n + n2 = 0 + -1.111111111 Combine like terms: 0 + -1.111111111 = -1.111111111 0.8888888889n + n2 = -1.111111111 The n term is 0.8888888889n. Take half its coefficient (0.4444444445). Square it (0.1975308642) and add it to both sides. Add '0.1975308642' to each side of the equation. 0.8888888889n + 0.1975308642 + n2 = -1.111111111 + 0.1975308642 Reorder the terms: 0.1975308642 + 0.8888888889n + n2 = -1.111111111 + 0.1975308642 Combine like terms: -1.111111111 + 0.1975308642 = -0.9135802468 0.1975308642 + 0.8888888889n + n2 = -0.9135802468 Factor a perfect square on the left side: (n + 0.4444444445)(n + 0.4444444445) = -0.9135802468 Can't calculate square root of the right side. The solution to this equation could not be determined.
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