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Simplifying 2y2 + 13y + 33 = 0 Reorder the terms: 33 + 13y + 2y2 = 0 Solving 33 + 13y + 2y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 16.5 + 6.5y + y2 = 0 Move the constant term to the right: Add '-16.5' to each side of the equation. 16.5 + 6.5y + -16.5 + y2 = 0 + -16.5 Reorder the terms: 16.5 + -16.5 + 6.5y + y2 = 0 + -16.5 Combine like terms: 16.5 + -16.5 = 0.0 0.0 + 6.5y + y2 = 0 + -16.5 6.5y + y2 = 0 + -16.5 Combine like terms: 0 + -16.5 = -16.5 6.5y + y2 = -16.5 The y term is 6.5y. Take half its coefficient (3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. 6.5y + 10.5625 + y2 = -16.5 + 10.5625 Reorder the terms: 10.5625 + 6.5y + y2 = -16.5 + 10.5625 Combine like terms: -16.5 + 10.5625 = -5.9375 10.5625 + 6.5y + y2 = -5.9375 Factor a perfect square on the left side: (y + 3.25)(y + 3.25) = -5.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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