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Simplifying 2y2 + 7y = -32.50 Reorder the terms: 7y + 2y2 = -32.50 Solving 7y + 2y2 = -32.50 Solving for variable 'y'. Reorder the terms: 32.50 + 7y + 2y2 = -32.50 + 32.50 Combine like terms: -32.50 + 32.50 = 0.00 32.50 + 7y + 2y2 = 0.00 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 16.25 + 3.5y + y2 = 0.00 Move the constant term to the right: Add '-16.25' to each side of the equation. 16.25 + 3.5y + -16.25 + y2 = 0.00 + -16.25 Reorder the terms: 16.25 + -16.25 + 3.5y + y2 = 0.00 + -16.25 Combine like terms: 16.25 + -16.25 = 0.00 0.00 + 3.5y + y2 = 0.00 + -16.25 3.5y + y2 = 0.00 + -16.25 Combine like terms: 0.00 + -16.25 = -16.25 3.5y + y2 = -16.25 The y term is 3.5y. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5y + 3.0625 + y2 = -16.25 + 3.0625 Reorder the terms: 3.0625 + 3.5y + y2 = -16.25 + 3.0625 Combine like terms: -16.25 + 3.0625 = -13.1875 3.0625 + 3.5y + y2 = -13.1875 Factor a perfect square on the left side: (y + 1.75)(y + 1.75) = -13.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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