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Simplifying y2 + 5y + 24 = 0 Reorder the terms: 24 + 5y + y2 = 0 Solving 24 + 5y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + 5y + -24 + y2 = 0 + -24 Reorder the terms: 24 + -24 + 5y + y2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5y + y2 = 0 + -24 5y + y2 = 0 + -24 Combine like terms: 0 + -24 = -24 5y + y2 = -24 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 = -24 + 6.25 Reorder the terms: 6.25 + 5y + y2 = -24 + 6.25 Combine like terms: -24 + 6.25 = -17.75 6.25 + 5y + y2 = -17.75 Factor a perfect square on the left side: (y + 2.5)(y + 2.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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