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Simplifying 8y2 + -1y + 6 = 0 Reorder the terms: 6 + -1y + 8y2 = 0 Solving 6 + -1y + 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'. 0.75 + -0.125y + y2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -0.125y + -0.75 + y2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -0.125y + y2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.125y + y2 = 0 + -0.75 -0.125y + y2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -0.125y + y2 = -0.75 The y term is -0.125y. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125y + 0.00390625 + y2 = -0.75 + 0.00390625 Reorder the terms: 0.00390625 + -0.125y + y2 = -0.75 + 0.00390625 Combine like terms: -0.75 + 0.00390625 = -0.74609375 0.00390625 + -0.125y + y2 = -0.74609375 Factor a perfect square on the left side: (y + -0.0625)(y + -0.0625) = -0.74609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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