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Simplifying 0.0043x2 + x + 50 = 0 Reorder the terms: 50 + x + 0.0043x2 = 0 Solving 50 + x + 0.0043x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.0043 the coefficient of the squared term: Divide each side by '0.0043'. 11627.90698 + 232.5581395x + x2 = 0 Move the constant term to the right: Add '-11627.90698' to each side of the equation. 11627.90698 + 232.5581395x + -11627.90698 + x2 = 0 + -11627.90698 Reorder the terms: 11627.90698 + -11627.90698 + 232.5581395x + x2 = 0 + -11627.90698 Combine like terms: 11627.90698 + -11627.90698 = 0.00000 0.00000 + 232.5581395x + x2 = 0 + -11627.90698 232.5581395x + x2 = 0 + -11627.90698 Combine like terms: 0 + -11627.90698 = -11627.90698 232.5581395x + x2 = -11627.90698 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. 232.5581395x + 0.25 + x2 = -11627.90698 + 0.25 Reorder the terms: 0.25 + 232.5581395x + x2 = -11627.90698 + 0.25 Combine like terms: -11627.90698 + 0.25 = -11627.65698 0.25 + 232.5581395x + x2 = -11627.65698 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -11627.65698 Can't calculate square root of the right side. The solution to this equation could not be determined.
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