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Simplifying 8y2 + -2y + -1 = -6 Reorder the terms: -1 + -2y + 8y2 = -6 Solving -1 + -2y + 8y2 = -6 Solving for variable 'y'. Reorder the terms: -1 + 6 + -2y + 8y2 = -6 + 6 Combine like terms: -1 + 6 = 5 5 + -2y + 8y2 = -6 + 6 Combine like terms: -6 + 6 = 0 5 + -2y + 8y2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + -0.25y + y2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.25y + -0.625 + y2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.25y + y2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.25y + y2 = 0 + -0.625 -0.25y + y2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.25y + y2 = -0.625 The y term is -0.25y. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25y + 0.015625 + y2 = -0.625 + 0.015625 Reorder the terms: 0.015625 + -0.25y + y2 = -0.625 + 0.015625 Combine like terms: -0.625 + 0.015625 = -0.609375 0.015625 + -0.25y + y2 = -0.609375 Factor a perfect square on the left side: (y + -0.125)(y + -0.125) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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