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Simplifying Y2 + 2Y + 5 = 0 Reorder the terms: 5 + 2Y + Y2 = 0 Solving 5 + 2Y + Y2 = 0 Solving for variable 'Y'. Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 2Y + -5 + Y2 = 0 + -5 Reorder the terms: 5 + -5 + 2Y + Y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2Y + Y2 = 0 + -5 2Y + Y2 = 0 + -5 Combine like terms: 0 + -5 = -5 2Y + Y2 = -5 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 = -5 + 1 Reorder the terms: 1 + 2Y + Y2 = -5 + 1 Combine like terms: -5 + 1 = -4 1 + 2Y + Y2 = -4 Factor a perfect square on the left side: (Y + 1)(Y + 1) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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