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Simplifying y2 + 0.1y + 0.25 = 0 Reorder the terms: 0.25 + 0.1y + y2 = 0 Solving 0.25 + 0.1y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.1y + -0.25 + y2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.1y + y2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.1y + y2 = 0 + -0.25 0.1y + y2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.1y + y2 = -0.25 The y term is 0.1y. Take half its coefficient (0.05). Square it (0.0025) and add it to both sides. Add '0.0025' to each side of the equation. 0.1y + 0.0025 + y2 = -0.25 + 0.0025 Reorder the terms: 0.0025 + 0.1y + y2 = -0.25 + 0.0025 Combine like terms: -0.25 + 0.0025 = -0.2475 0.0025 + 0.1y + y2 = -0.2475 Factor a perfect square on the left side: (y + 0.05)(y + 0.05) = -0.2475 Can't calculate square root of the right side. The solution to this equation could not be determined.
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