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Simplifying -7n2 + -13 = -36 + -1n + -8n2 Reorder the terms: -13 + -7n2 = -36 + -1n + -8n2 Solving -13 + -7n2 = -36 + -1n + -8n2 Solving for variable 'n'. Reorder the terms: -13 + 36 + n + -7n2 + 8n2 = -36 + -1n + -8n2 + 36 + n + 8n2 Combine like terms: -13 + 36 = 23 23 + n + -7n2 + 8n2 = -36 + -1n + -8n2 + 36 + n + 8n2 Combine like terms: -7n2 + 8n2 = 1n2 23 + n + 1n2 = -36 + -1n + -8n2 + 36 + n + 8n2 Reorder the terms: 23 + n + 1n2 = -36 + 36 + -1n + n + -8n2 + 8n2 Combine like terms: -36 + 36 = 0 23 + n + 1n2 = 0 + -1n + n + -8n2 + 8n2 23 + n + 1n2 = -1n + n + -8n2 + 8n2 Combine like terms: -1n + n = 0 23 + n + 1n2 = 0 + -8n2 + 8n2 23 + n + 1n2 = -8n2 + 8n2 Combine like terms: -8n2 + 8n2 = 0 23 + n + 1n2 = 0 Begin completing the square. Move the constant term to the right: Add '-23' to each side of the equation. 23 + n + -23 + n2 = 0 + -23 Reorder the terms: 23 + -23 + n + n2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + n + n2 = 0 + -23 n + n2 = 0 + -23 Combine like terms: 0 + -23 = -23 n + n2 = -23 The n term is n. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. n + 0.25 + n2 = -23 + 0.25 Reorder the terms: 0.25 + n + n2 = -23 + 0.25 Combine like terms: -23 + 0.25 = -22.75 0.25 + n + n2 = -22.75 Factor a perfect square on the left side: (n + 0.5)(n + 0.5) = -22.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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