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Simplifying 2y2 + 20y + 77 = 0 Reorder the terms: 77 + 20y + 2y2 = 0 Solving 77 + 20y + 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'. 38.5 + 10y + y2 = 0 Move the constant term to the right: Add '-38.5' to each side of the equation. 38.5 + 10y + -38.5 + y2 = 0 + -38.5 Reorder the terms: 38.5 + -38.5 + 10y + y2 = 0 + -38.5 Combine like terms: 38.5 + -38.5 = 0.0 0.0 + 10y + y2 = 0 + -38.5 10y + y2 = 0 + -38.5 Combine like terms: 0 + -38.5 = -38.5 10y + y2 = -38.5 The y term is 10y. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10y + 25 + y2 = -38.5 + 25 Reorder the terms: 25 + 10y + y2 = -38.5 + 25 Combine like terms: -38.5 + 25 = -13.5 25 + 10y + y2 = -13.5 Factor a perfect square on the left side: (y + 5)(y + 5) = -13.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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