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Simplifying -2y + 5 = -11y2 + 2 Reorder the terms: 5 + -2y = -11y2 + 2 Reorder the terms: 5 + -2y = 2 + -11y2 Solving 5 + -2y = 2 + -11y2 Solving for variable 'y'. Reorder the terms: 5 + -2 + -2y + 11y2 = 2 + -11y2 + -2 + 11y2 Combine like terms: 5 + -2 = 3 3 + -2y + 11y2 = 2 + -11y2 + -2 + 11y2 Reorder the terms: 3 + -2y + 11y2 = 2 + -2 + -11y2 + 11y2 Combine like terms: 2 + -2 = 0 3 + -2y + 11y2 = 0 + -11y2 + 11y2 3 + -2y + 11y2 = -11y2 + 11y2 Combine like terms: -11y2 + 11y2 = 0 3 + -2y + 11y2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.2727272727 + -0.1818181818y + y2 = 0 Move the constant term to the right: Add '-0.2727272727' to each side of the equation. 0.2727272727 + -0.1818181818y + -0.2727272727 + y2 = 0 + -0.2727272727 Reorder the terms: 0.2727272727 + -0.2727272727 + -0.1818181818y + y2 = 0 + -0.2727272727 Combine like terms: 0.2727272727 + -0.2727272727 = 0.0000000000 0.0000000000 + -0.1818181818y + y2 = 0 + -0.2727272727 -0.1818181818y + y2 = 0 + -0.2727272727 Combine like terms: 0 + -0.2727272727 = -0.2727272727 -0.1818181818y + y2 = -0.2727272727 The y term is -0.1818181818y. Take half its coefficient (-0.0909090909). Square it (0.008264462808) and add it to both sides. Add '0.008264462808' to each side of the equation. -0.1818181818y + 0.008264462808 + y2 = -0.2727272727 + 0.008264462808 Reorder the terms: 0.008264462808 + -0.1818181818y + y2 = -0.2727272727 + 0.008264462808 Combine like terms: -0.2727272727 + 0.008264462808 = -0.264462809892 0.008264462808 + -0.1818181818y + y2 = -0.264462809892 Factor a perfect square on the left side: (y + -0.0909090909)(y + -0.0909090909) = -0.264462809892 Can't calculate square root of the right side. The solution to this equation could not be determined.
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