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Simplifying y2 + 4x + 2y + 9 = 0 Reorder the terms: 9 + 4x + 2y + y2 = 0 Solving 9 + 4x + 2y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 4x + 2y + -9 + y2 = 0 + -9 Reorder the terms: 9 + -9 + 4x + 2y + y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x + 2y + y2 = 0 + -9 4x + 2y + y2 = 0 + -9 Combine like terms: 0 + -9 = -9 4x + 2y + y2 = -9 Add '-2y' to each side of the equation. 4x + 2y + -2y + y2 = -9 + -2y Combine like terms: 2y + -2y = 0 4x + 0 + y2 = -9 + -2y 4x + y2 = -9 + -2y Add '-1y2' to each side of the equation. 4x + y2 + -1y2 = -9 + -2y + -1y2 Combine like terms: y2 + -1y2 = 0 4x + 0 = -9 + -2y + -1y2 4x = -9 + -2y + -1y2 Divide each side by '4'. x = -2.25 + -0.5y + -0.25y2 Simplifying x = -2.25 + -0.5y + -0.25y2
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