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Simplifying y2 + y = -1.25 Reorder the terms: y + y2 = -1.25 Solving y + y2 = -1.25 Solving for variable 'y'. Reorder the terms: 1.25 + y + y2 = -1.25 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 1.25 + y + y2 = 0.00 Begin completing the square. Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + y + -1.25 + y2 = 0.00 + -1.25 Reorder the terms: 1.25 + -1.25 + y + y2 = 0.00 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + y + y2 = 0.00 + -1.25 y + y2 = 0.00 + -1.25 Combine like terms: 0.00 + -1.25 = -1.25 y + y2 = -1.25 The y term is y. 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. y + 0.25 + y2 = -1.25 + 0.25 Reorder the terms: 0.25 + y + y2 = -1.25 + 0.25 Combine like terms: -1.25 + 0.25 = -1 0.25 + y + y2 = -1 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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