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Simplifying y2 + 9y + 54 = 0 Reorder the terms: 54 + 9y + y2 = 0 Solving 54 + 9y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-54' to each side of the equation. 54 + 9y + -54 + y2 = 0 + -54 Reorder the terms: 54 + -54 + 9y + y2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 9y + y2 = 0 + -54 9y + y2 = 0 + -54 Combine like terms: 0 + -54 = -54 9y + y2 = -54 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 = -54 + 20.25 Reorder the terms: 20.25 + 9y + y2 = -54 + 20.25 Combine like terms: -54 + 20.25 = -33.75 20.25 + 9y + y2 = -33.75 Factor a perfect square on the left side: (y + 4.5)(y + 4.5) = -33.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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