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Simplifying Y2 + 4Y + 11 = 0 Reorder the terms: 11 + 4Y + Y2 = 0 Solving 11 + 4Y + Y2 = 0 Solving for variable 'Y'. Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 4Y + -11 + Y2 = 0 + -11 Reorder the terms: 11 + -11 + 4Y + Y2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4Y + Y2 = 0 + -11 4Y + Y2 = 0 + -11 Combine like terms: 0 + -11 = -11 4Y + Y2 = -11 The Y term is 4Y. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4Y + 4 + Y2 = -11 + 4 Reorder the terms: 4 + 4Y + Y2 = -11 + 4 Combine like terms: -11 + 4 = -7 4 + 4Y + Y2 = -7 Factor a perfect square on the left side: (Y + 2)(Y + 2) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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