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Simplifying x2 + 85x + 5000 = 0 Reorder the terms: 5000 + 85x + x2 = 0 Solving 5000 + 85x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-5000' to each side of the equation. 5000 + 85x + -5000 + x2 = 0 + -5000 Reorder the terms: 5000 + -5000 + 85x + x2 = 0 + -5000 Combine like terms: 5000 + -5000 = 0 0 + 85x + x2 = 0 + -5000 85x + x2 = 0 + -5000 Combine like terms: 0 + -5000 = -5000 85x + x2 = -5000 The x term is 85x. Take half its coefficient (42.5). Square it (1806.25) and add it to both sides. Add '1806.25' to each side of the equation. 85x + 1806.25 + x2 = -5000 + 1806.25 Reorder the terms: 1806.25 + 85x + x2 = -5000 + 1806.25 Combine like terms: -5000 + 1806.25 = -3193.75 1806.25 + 85x + x2 = -3193.75 Factor a perfect square on the left side: (x + 42.5)(x + 42.5) = -3193.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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