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Simplifying 8n2 + -9n + 288 = 0 Reorder the terms: 288 + -9n + 8n2 = 0 Solving 288 + -9n + 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'. 36 + -1.125n + n2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -1.125n + -36 + n2 = 0 + -36 Reorder the terms: 36 + -36 + -1.125n + n2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1.125n + n2 = 0 + -36 -1.125n + n2 = 0 + -36 Combine like terms: 0 + -36 = -36 -1.125n + n2 = -36 The n term is -1.125n. Take half its coefficient (-0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. -1.125n + 0.31640625 + n2 = -36 + 0.31640625 Reorder the terms: 0.31640625 + -1.125n + n2 = -36 + 0.31640625 Combine like terms: -36 + 0.31640625 = -35.68359375 0.31640625 + -1.125n + n2 = -35.68359375 Factor a perfect square on the left side: (n + -0.5625)(n + -0.5625) = -35.68359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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