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Simplifying 8y2 + -1y = -9 Reorder the terms: -1y + 8y2 = -9 Solving -1y + 8y2 = -9 Solving for variable 'y'. Reorder the terms: 9 + -1y + 8y2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + -1y + 8y2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.125 + -0.125y + y2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + -0.125y + -1.125 + y2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + -0.125y + y2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + -0.125y + y2 = 0 + -1.125 -0.125y + y2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 -0.125y + y2 = -1.125 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 = -1.125 + 0.00390625 Reorder the terms: 0.00390625 + -0.125y + y2 = -1.125 + 0.00390625 Combine like terms: -1.125 + 0.00390625 = -1.12109375 0.00390625 + -0.125y + y2 = -1.12109375 Factor a perfect square on the left side: (y + -0.0625)(y + -0.0625) = -1.12109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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