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Simplifying 2y2 + -21y + 110 = 0 Reorder the terms: 110 + -21y + 2y2 = 0 Solving 110 + -21y + 2y2 = 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'. 55 + -10.5y + y2 = 0 Move the constant term to the right: Add '-55' to each side of the equation. 55 + -10.5y + -55 + y2 = 0 + -55 Reorder the terms: 55 + -55 + -10.5y + y2 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -10.5y + y2 = 0 + -55 -10.5y + y2 = 0 + -55 Combine like terms: 0 + -55 = -55 -10.5y + y2 = -55 The y term is -10.5y. Take half its coefficient (-5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. -10.5y + 27.5625 + y2 = -55 + 27.5625 Reorder the terms: 27.5625 + -10.5y + y2 = -55 + 27.5625 Combine like terms: -55 + 27.5625 = -27.4375 27.5625 + -10.5y + y2 = -27.4375 Factor a perfect square on the left side: (y + -5.25)(y + -5.25) = -27.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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