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Simplifying y2 + -9y + 38 = 0 Reorder the terms: 38 + -9y + y2 = 0 Solving 38 + -9y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-38' to each side of the equation. 38 + -9y + -38 + y2 = 0 + -38 Reorder the terms: 38 + -38 + -9y + y2 = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -9y + y2 = 0 + -38 -9y + y2 = 0 + -38 Combine like terms: 0 + -38 = -38 -9y + y2 = -38 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 = -38 + 20.25 Reorder the terms: 20.25 + -9y + y2 = -38 + 20.25 Combine like terms: -38 + 20.25 = -17.75 20.25 + -9y + y2 = -17.75 Factor a perfect square on the left side: (y + -4.5)(y + -4.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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