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Simplifying 8y2 + 4y + 7 = 0 Reorder the terms: 7 + 4y + 8y2 = 0 Solving 7 + 4y + 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'. 0.875 + 0.5y + y2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + 0.5y + -0.875 + y2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + 0.5y + y2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + 0.5y + y2 = 0 + -0.875 0.5y + y2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 0.5y + y2 = -0.875 The y term is 0.5y. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5y + 0.0625 + y2 = -0.875 + 0.0625 Reorder the terms: 0.0625 + 0.5y + y2 = -0.875 + 0.0625 Combine like terms: -0.875 + 0.0625 = -0.8125 0.0625 + 0.5y + y2 = -0.8125 Factor a perfect square on the left side: (y + 0.25)(y + 0.25) = -0.8125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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