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Simplifying y2 + 22y = -9696 Reorder the terms: 22y + y2 = -9696 Solving 22y + y2 = -9696 Solving for variable 'y'. Reorder the terms: 9696 + 22y + y2 = -9696 + 9696 Combine like terms: -9696 + 9696 = 0 9696 + 22y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-9696' to each side of the equation. 9696 + 22y + -9696 + y2 = 0 + -9696 Reorder the terms: 9696 + -9696 + 22y + y2 = 0 + -9696 Combine like terms: 9696 + -9696 = 0 0 + 22y + y2 = 0 + -9696 22y + y2 = 0 + -9696 Combine like terms: 0 + -9696 = -9696 22y + y2 = -9696 The y term is 22y. Take half its coefficient (11). Square it (121) and add it to both sides. Add '121' to each side of the equation. 22y + 121 + y2 = -9696 + 121 Reorder the terms: 121 + 22y + y2 = -9696 + 121 Combine like terms: -9696 + 121 = -9575 121 + 22y + y2 = -9575 Factor a perfect square on the left side: (y + 11)(y + 11) = -9575 Can't calculate square root of the right side. The solution to this equation could not be determined.
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