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Simplifying 4y2 + 29y + 55 = 0 Reorder the terms: 55 + 29y + 4y2 = 0 Solving 55 + 29y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 13.75 + 7.25y + y2 = 0 Move the constant term to the right: Add '-13.75' to each side of the equation. 13.75 + 7.25y + -13.75 + y2 = 0 + -13.75 Reorder the terms: 13.75 + -13.75 + 7.25y + y2 = 0 + -13.75 Combine like terms: 13.75 + -13.75 = 0.00 0.00 + 7.25y + y2 = 0 + -13.75 7.25y + y2 = 0 + -13.75 Combine like terms: 0 + -13.75 = -13.75 7.25y + y2 = -13.75 The y term is 7.25y. Take half its coefficient (3.625). Square it (13.140625) and add it to both sides. Add '13.140625' to each side of the equation. 7.25y + 13.140625 + y2 = -13.75 + 13.140625 Reorder the terms: 13.140625 + 7.25y + y2 = -13.75 + 13.140625 Combine like terms: -13.75 + 13.140625 = -0.609375 13.140625 + 7.25y + y2 = -0.609375 Factor a perfect square on the left side: (y + 3.625)(y + 3.625) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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