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Simplifying 2y2 = 2y + -11 Reorder the terms: 2y2 = -11 + 2y Solving 2y2 = -11 + 2y Solving for variable 'y'. Reorder the terms: 11 + -2y + 2y2 = -11 + 2y + 11 + -2y Reorder the terms: 11 + -2y + 2y2 = -11 + 11 + 2y + -2y Combine like terms: -11 + 11 = 0 11 + -2y + 2y2 = 0 + 2y + -2y 11 + -2y + 2y2 = 2y + -2y Combine like terms: 2y + -2y = 0 11 + -2y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5.5 + -1y + y2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + -1y + -5.5 + y2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + -1y + y2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -1y + y2 = 0 + -5.5 -1y + y2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 -1y + y2 = -5.5 The y term is -1y. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1y + 0.25 + y2 = -5.5 + 0.25 Reorder the terms: 0.25 + -1y + y2 = -5.5 + 0.25 Combine like terms: -5.5 + 0.25 = -5.25 0.25 + -1y + y2 = -5.25 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = -5.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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