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Simplifying 10 + y = -1y2 Solving 10 + y = -1y2 Solving for variable 'y'. Combine like terms: -1y2 + y2 = 0 10 + y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + y + -10 + y2 = 0 + -10 Reorder the terms: 10 + -10 + y + y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + y + y2 = 0 + -10 y + y2 = 0 + -10 Combine like terms: 0 + -10 = -10 y + y2 = -10 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 = -10 + 0.25 Reorder the terms: 0.25 + y + y2 = -10 + 0.25 Combine like terms: -10 + 0.25 = -9.75 0.25 + y + y2 = -9.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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