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Simplifying 2y2 + -9y + 18 = y2 + -36 Reorder the terms: 18 + -9y + 2y2 = y2 + -36 Reorder the terms: 18 + -9y + 2y2 = -36 + y2 Solving 18 + -9y + 2y2 = -36 + y2 Solving for variable 'y'. Reorder the terms: 18 + 36 + -9y + 2y2 + -1y2 = -36 + y2 + 36 + -1y2 Combine like terms: 18 + 36 = 54 54 + -9y + 2y2 + -1y2 = -36 + y2 + 36 + -1y2 Combine like terms: 2y2 + -1y2 = 1y2 54 + -9y + 1y2 = -36 + y2 + 36 + -1y2 Reorder the terms: 54 + -9y + 1y2 = -36 + 36 + y2 + -1y2 Combine like terms: -36 + 36 = 0 54 + -9y + 1y2 = 0 + y2 + -1y2 54 + -9y + 1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 54 + -9y + 1y2 = 0 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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