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Simplifying -0.1x2 + 50x = 20250 Reorder the terms: 50x + -0.1x2 = 20250 Solving 50x + -0.1x2 = 20250 Solving for variable 'x'. Reorder the terms: -20250 + 50x + -0.1x2 = 20250 + -20250 Combine like terms: 20250 + -20250 = 0 -20250 + 50x + -0.1x2 = 0 Begin completing the square. Divide all terms by -0.1 the coefficient of the squared term: Divide each side by '-0.1'. 202500 + -500x + x2 = 0 Move the constant term to the right: Add '-202500' to each side of the equation. 202500 + -500x + -202500 + x2 = 0 + -202500 Reorder the terms: 202500 + -202500 + -500x + x2 = 0 + -202500 Combine like terms: 202500 + -202500 = 0 0 + -500x + x2 = 0 + -202500 -500x + x2 = 0 + -202500 Combine like terms: 0 + -202500 = -202500 -500x + x2 = -202500 The x term is -500x. Take half its coefficient (-250). Square it (62500) and add it to both sides. Add '62500' to each side of the equation. -500x + 62500 + x2 = -202500 + 62500 Reorder the terms: 62500 + -500x + x2 = -202500 + 62500 Combine like terms: -202500 + 62500 = -140000 62500 + -500x + x2 = -140000 Factor a perfect square on the left side: (x + -250)(x + -250) = -140000 Can't calculate square root of the right side. The solution to this equation could not be determined.
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