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Simplifying y2 + 6y + 36 = 0 Reorder the terms: 36 + 6y + y2 = 0 Solving 36 + 6y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + 6y + -36 + y2 = 0 + -36 Reorder the terms: 36 + -36 + 6y + y2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 6y + y2 = 0 + -36 6y + y2 = 0 + -36 Combine like terms: 0 + -36 = -36 6y + y2 = -36 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 = -36 + 9 Reorder the terms: 9 + 6y + y2 = -36 + 9 Combine like terms: -36 + 9 = -27 9 + 6y + y2 = -27 Factor a perfect square on the left side: (y + 3)(y + 3) = -27 Can't calculate square root of the right side. The solution to this equation could not be determined.
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