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Simplifying x2 + -85x + 6000 = 0 Reorder the terms: 6000 + -85x + x2 = 0 Solving 6000 + -85x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-6000' to each side of the equation. 6000 + -85x + -6000 + x2 = 0 + -6000 Reorder the terms: 6000 + -6000 + -85x + x2 = 0 + -6000 Combine like terms: 6000 + -6000 = 0 0 + -85x + x2 = 0 + -6000 -85x + x2 = 0 + -6000 Combine like terms: 0 + -6000 = -6000 -85x + x2 = -6000 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 = -6000 + 1806.25 Reorder the terms: 1806.25 + -85x + x2 = -6000 + 1806.25 Combine like terms: -6000 + 1806.25 = -4193.75 1806.25 + -85x + x2 = -4193.75 Factor a perfect square on the left side: (x + -42.5)(x + -42.5) = -4193.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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