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Simplifying n2 + 8n + 80 = 0 Reorder the terms: 80 + 8n + n2 = 0 Solving 80 + 8n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '-80' to each side of the equation. 80 + 8n + -80 + n2 = 0 + -80 Reorder the terms: 80 + -80 + 8n + n2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 8n + n2 = 0 + -80 8n + n2 = 0 + -80 Combine like terms: 0 + -80 = -80 8n + n2 = -80 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 = -80 + 16 Reorder the terms: 16 + 8n + n2 = -80 + 16 Combine like terms: -80 + 16 = -64 16 + 8n + n2 = -64 Factor a perfect square on the left side: (n + 4)(n + 4) = -64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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