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Simplifying y2 + 2y + 27 = 0 Reorder the terms: 27 + 2y + y2 = 0 Solving 27 + 2y + 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 + 2y + -27 + y2 = 0 + -27 Reorder the terms: 27 + -27 + 2y + y2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 2y + y2 = 0 + -27 2y + y2 = 0 + -27 Combine like terms: 0 + -27 = -27 2y + y2 = -27 The y term is 2y. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2y + 1 + y2 = -27 + 1 Reorder the terms: 1 + 2y + y2 = -27 + 1 Combine like terms: -27 + 1 = -26 1 + 2y + y2 = -26 Factor a perfect square on the left side: (y + 1)(y + 1) = -26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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