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Simplifying 8n2 = -7n + -7 Reorder the terms: 8n2 = -7 + -7n Solving 8n2 = -7 + -7n Solving for variable 'n'. Reorder the terms: 7 + 7n + 8n2 = -7 + -7n + 7 + 7n Reorder the terms: 7 + 7n + 8n2 = -7 + 7 + -7n + 7n Combine like terms: -7 + 7 = 0 7 + 7n + 8n2 = 0 + -7n + 7n 7 + 7n + 8n2 = -7n + 7n Combine like terms: -7n + 7n = 0 7 + 7n + 8n2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + 0.875n + n2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + 0.875n + -0.875 + n2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + 0.875n + n2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + 0.875n + n2 = 0 + -0.875 0.875n + n2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 0.875n + n2 = -0.875 The n term is 0.875n. Take half its coefficient (0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. 0.875n + 0.19140625 + n2 = -0.875 + 0.19140625 Reorder the terms: 0.19140625 + 0.875n + n2 = -0.875 + 0.19140625 Combine like terms: -0.875 + 0.19140625 = -0.68359375 0.19140625 + 0.875n + n2 = -0.68359375 Factor a perfect square on the left side: (n + 0.4375)(n + 0.4375) = -0.68359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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