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Simplifying 8y2 + -12y + 27 = 0 Reorder the terms: 27 + -12y + 8y2 = 0 Solving 27 + -12y + 8y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 3.375 + -1.5y + y2 = 0 Move the constant term to the right: Add '-3.375' to each side of the equation. 3.375 + -1.5y + -3.375 + y2 = 0 + -3.375 Reorder the terms: 3.375 + -3.375 + -1.5y + y2 = 0 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + -1.5y + y2 = 0 + -3.375 -1.5y + y2 = 0 + -3.375 Combine like terms: 0 + -3.375 = -3.375 -1.5y + y2 = -3.375 The y term is -1.5y. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5y + 0.5625 + y2 = -3.375 + 0.5625 Reorder the terms: 0.5625 + -1.5y + y2 = -3.375 + 0.5625 Combine like terms: -3.375 + 0.5625 = -2.8125 0.5625 + -1.5y + y2 = -2.8125 Factor a perfect square on the left side: (y + -0.75)(y + -0.75) = -2.8125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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