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Simplifying 8y2 + 12y + 17 = 0 Reorder the terms: 17 + 12y + 8y2 = 0 Solving 17 + 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'. 2.125 + 1.5y + y2 = 0 Move the constant term to the right: Add '-2.125' to each side of the equation. 2.125 + 1.5y + -2.125 + y2 = 0 + -2.125 Reorder the terms: 2.125 + -2.125 + 1.5y + y2 = 0 + -2.125 Combine like terms: 2.125 + -2.125 = 0.000 0.000 + 1.5y + y2 = 0 + -2.125 1.5y + y2 = 0 + -2.125 Combine like terms: 0 + -2.125 = -2.125 1.5y + y2 = -2.125 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 = -2.125 + 0.5625 Reorder the terms: 0.5625 + 1.5y + y2 = -2.125 + 0.5625 Combine like terms: -2.125 + 0.5625 = -1.5625 0.5625 + 1.5y + y2 = -1.5625 Factor a perfect square on the left side: (y + 0.75)(y + 0.75) = -1.5625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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