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Simplifying 25Y2 + -2Y4 + -108 = 0 Reorder the terms: -108 + 25Y2 + -2Y4 = 0 Solving -108 + 25Y2 + -2Y4 = 0 Solving for variable 'Y'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 54 + -12.5Y2 + Y4 = 0 Move the constant term to the right: Add '-54' to each side of the equation. 54 + -12.5Y2 + -54 + Y4 = 0 + -54 Reorder the terms: 54 + -54 + -12.5Y2 + Y4 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -12.5Y2 + Y4 = 0 + -54 -12.5Y2 + Y4 = 0 + -54 Combine like terms: 0 + -54 = -54 -12.5Y2 + Y4 = -54 The Y term is -12.5Y2. Take half its coefficient (-6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. -12.5Y2 + 39.0625 + Y4 = -54 + 39.0625 Reorder the terms: 39.0625 + -12.5Y2 + Y4 = -54 + 39.0625 Combine like terms: -54 + 39.0625 = -14.9375 39.0625 + -12.5Y2 + Y4 = -14.9375 Factor a perfect square on the left side: (Y2 + -6.25)(Y2 + -6.25) = -14.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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