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Simplifying y(y + 3) = -9 Reorder the terms: y(3 + y) = -9 (3 * y + y * y) = -9 (3y + y2) = -9 Solving 3y + y2 = -9 Solving for variable 'y'. Reorder the terms: 9 + 3y + y2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 3y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 3y + -9 + y2 = 0 + -9 Reorder the terms: 9 + -9 + 3y + y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3y + y2 = 0 + -9 3y + y2 = 0 + -9 Combine like terms: 0 + -9 = -9 3y + y2 = -9 The y term is 3y. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3y + 2.25 + y2 = -9 + 2.25 Reorder the terms: 2.25 + 3y + y2 = -9 + 2.25 Combine like terms: -9 + 2.25 = -6.75 2.25 + 3y + y2 = -6.75 Factor a perfect square on the left side: (y + 1.5)(y + 1.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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