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Simplifying n2 + 8n + 24 = 5 Reorder the terms: 24 + 8n + n2 = 5 Solving 24 + 8n + n2 = 5 Solving for variable 'n'. Reorder the terms: 24 + -5 + 8n + n2 = 5 + -5 Combine like terms: 24 + -5 = 19 19 + 8n + n2 = 5 + -5 Combine like terms: 5 + -5 = 0 19 + 8n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 8n + -19 + n2 = 0 + -19 Reorder the terms: 19 + -19 + 8n + n2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 8n + n2 = 0 + -19 8n + n2 = 0 + -19 Combine like terms: 0 + -19 = -19 8n + n2 = -19 The n term is 8n. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8n + 16 + n2 = -19 + 16 Reorder the terms: 16 + 8n + n2 = -19 + 16 Combine like terms: -19 + 16 = -3 16 + 8n + n2 = -3 Factor a perfect square on the left side: (n + 4)(n + 4) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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