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Simplifying y2 + -2y + 2500 = 0 Reorder the terms: 2500 + -2y + y2 = 0 Solving 2500 + -2y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-2500' to each side of the equation. 2500 + -2y + -2500 + y2 = 0 + -2500 Reorder the terms: 2500 + -2500 + -2y + y2 = 0 + -2500 Combine like terms: 2500 + -2500 = 0 0 + -2y + y2 = 0 + -2500 -2y + y2 = 0 + -2500 Combine like terms: 0 + -2500 = -2500 -2y + y2 = -2500 The y term is -2y. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2y + 1 + y2 = -2500 + 1 Reorder the terms: 1 + -2y + y2 = -2500 + 1 Combine like terms: -2500 + 1 = -2499 1 + -2y + y2 = -2499 Factor a perfect square on the left side: (y + -1)(y + -1) = -2499 Can't calculate square root of the right side. The solution to this equation could not be determined.
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