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Simplifying y2 + -6y + 27 = 0 Reorder the terms: 27 + -6y + y2 = 0 Solving 27 + -6y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + -6y + -27 + y2 = 0 + -27 Reorder the terms: 27 + -27 + -6y + y2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -6y + y2 = 0 + -27 -6y + y2 = 0 + -27 Combine like terms: 0 + -27 = -27 -6y + y2 = -27 The y term is -6y. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y + 9 + y2 = -27 + 9 Reorder the terms: 9 + -6y + y2 = -27 + 9 Combine like terms: -27 + 9 = -18 9 + -6y + y2 = -18 Factor a perfect square on the left side: (y + -3)(y + -3) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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