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Simplifying 3y + 2y + (y)(y) + 5 + 4 = 0 Multiply y * y 3y + 2y + y2 + 5 + 4 = 0 Reorder the terms: 5 + 4 + 3y + 2y + y2 = 0 Combine like terms: 5 + 4 = 9 9 + 3y + 2y + y2 = 0 Combine like terms: 3y + 2y = 5y 9 + 5y + y2 = 0 Solving 9 + 5y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 5y + -9 + y2 = 0 + -9 Reorder the terms: 9 + -9 + 5y + y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5y + y2 = 0 + -9 5y + y2 = 0 + -9 Combine like terms: 0 + -9 = -9 5y + y2 = -9 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 = -9 + 6.25 Reorder the terms: 6.25 + 5y + y2 = -9 + 6.25 Combine like terms: -9 + 6.25 = -2.75 6.25 + 5y + y2 = -2.75 Factor a perfect square on the left side: (y + 2.5)(y + 2.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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