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Simplifying n2 + 74 = 8n Reorder the terms: 74 + n2 = 8n Solving 74 + n2 = 8n Solving for variable 'n'. Reorder the terms: 74 + -8n + n2 = 8n + -8n Combine like terms: 8n + -8n = 0 74 + -8n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-74' to each side of the equation. 74 + -8n + -74 + n2 = 0 + -74 Reorder the terms: 74 + -74 + -8n + n2 = 0 + -74 Combine like terms: 74 + -74 = 0 0 + -8n + n2 = 0 + -74 -8n + n2 = 0 + -74 Combine like terms: 0 + -74 = -74 -8n + n2 = -74 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 = -74 + 16 Reorder the terms: 16 + -8n + n2 = -74 + 16 Combine like terms: -74 + 16 = -58 16 + -8n + n2 = -58 Factor a perfect square on the left side: (n + -4)(n + -4) = -58 Can't calculate square root of the right side. The solution to this equation could not be determined.
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