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Simplifying y2 + 4y + 8x + 12 = 0 Reorder the terms: 12 + 8x + 4y + y2 = 0 Solving 12 + 8x + 4y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 8x + 4y + -12 + y2 = 0 + -12 Reorder the terms: 12 + -12 + 8x + 4y + y2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 8x + 4y + y2 = 0 + -12 8x + 4y + y2 = 0 + -12 Combine like terms: 0 + -12 = -12 8x + 4y + y2 = -12 Add '-4y' to each side of the equation. 8x + 4y + -4y + y2 = -12 + -4y Combine like terms: 4y + -4y = 0 8x + 0 + y2 = -12 + -4y 8x + y2 = -12 + -4y Add '-1y2' to each side of the equation. 8x + y2 + -1y2 = -12 + -4y + -1y2 Combine like terms: y2 + -1y2 = 0 8x + 0 = -12 + -4y + -1y2 8x = -12 + -4y + -1y2 Divide each side by '8'. x = -1.5 + -0.5y + -0.125y2 Simplifying x = -1.5 + -0.5y + -0.125y2
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