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Simplifying y2 + 6y + 41 = 0 Reorder the terms: 41 + 6y + y2 = 0 Solving 41 + 6y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + 6y + -41 + y2 = 0 + -41 Reorder the terms: 41 + -41 + 6y + y2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 6y + y2 = 0 + -41 6y + y2 = 0 + -41 Combine like terms: 0 + -41 = -41 6y + y2 = -41 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 = -41 + 9 Reorder the terms: 9 + 6y + y2 = -41 + 9 Combine like terms: -41 + 9 = -32 9 + 6y + y2 = -32 Factor a perfect square on the left side: (y + 3)(y + 3) = -32 Can't calculate square root of the right side. The solution to this equation could not be determined.
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