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Simplifying (y2 + 5y + 20) = 0 Reorder the terms: (20 + 5y + y2) = 0 Remove parenthesis around (20 + 5y + y2) 20 + 5y + y2 = 0 Solving 20 + 5y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 5y + -20 + y2 = 0 + -20 Reorder the terms: 20 + -20 + 5y + y2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5y + y2 = 0 + -20 5y + y2 = 0 + -20 Combine like terms: 0 + -20 = -20 5y + y2 = -20 The y term is 5y. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5y + 6.25 + y2 = -20 + 6.25 Reorder the terms: 6.25 + 5y + y2 = -20 + 6.25 Combine like terms: -20 + 6.25 = -13.75 6.25 + 5y + y2 = -13.75 Factor a perfect square on the left side: (y + 2.5)(y + 2.5) = -13.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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