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Simplifying y2 + 9y = -29.25 Reorder the terms: 9y + y2 = -29.25 Solving 9y + y2 = -29.25 Solving for variable 'y'. Reorder the terms: 29.25 + 9y + y2 = -29.25 + 29.25 Combine like terms: -29.25 + 29.25 = 0.00 29.25 + 9y + y2 = 0.00 Begin completing the square. Move the constant term to the right: Add '-29.25' to each side of the equation. 29.25 + 9y + -29.25 + y2 = 0.00 + -29.25 Reorder the terms: 29.25 + -29.25 + 9y + y2 = 0.00 + -29.25 Combine like terms: 29.25 + -29.25 = 0.00 0.00 + 9y + y2 = 0.00 + -29.25 9y + y2 = 0.00 + -29.25 Combine like terms: 0.00 + -29.25 = -29.25 9y + y2 = -29.25 The y term is 9y. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9y + 20.25 + y2 = -29.25 + 20.25 Reorder the terms: 20.25 + 9y + y2 = -29.25 + 20.25 Combine like terms: -29.25 + 20.25 = -9 20.25 + 9y + y2 = -9 Factor a perfect square on the left side: (y + 4.5)(y + 4.5) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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