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Simplifying Y2 + -6Y + 15 = 0 Reorder the terms: 15 + -6Y + Y2 = 0 Solving 15 + -6Y + Y2 = 0 Solving for variable 'Y'. Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + -6Y + -15 + Y2 = 0 + -15 Reorder the terms: 15 + -15 + -6Y + Y2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -6Y + Y2 = 0 + -15 -6Y + Y2 = 0 + -15 Combine like terms: 0 + -15 = -15 -6Y + Y2 = -15 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 = -15 + 9 Reorder the terms: 9 + -6Y + Y2 = -15 + 9 Combine like terms: -15 + 9 = -6 9 + -6Y + Y2 = -6 Factor a perfect square on the left side: (Y + -3)(Y + -3) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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