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Simplifying 0.005x2 + x + 200 = 0 Reorder the terms: 200 + x + 0.005x2 = 0 Solving 200 + x + 0.005x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.005 the coefficient of the squared term: Divide each side by '0.005'. 40000 + 200x + x2 = 0 Move the constant term to the right: Add '-40000' to each side of the equation. 40000 + 200x + -40000 + x2 = 0 + -40000 Reorder the terms: 40000 + -40000 + 200x + x2 = 0 + -40000 Combine like terms: 40000 + -40000 = 0 0 + 200x + x2 = 0 + -40000 200x + x2 = 0 + -40000 Combine like terms: 0 + -40000 = -40000 200x + x2 = -40000 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 200x + 0.25 + x2 = -40000 + 0.25 Reorder the terms: 0.25 + 200x + x2 = -40000 + 0.25 Combine like terms: -40000 + 0.25 = -39999.75 0.25 + 200x + x2 = -39999.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -39999.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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