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Simplifying y2 + 12x + 4y + -32 = 0 Reorder the terms: -32 + 12x + 4y + y2 = 0 Solving -32 + 12x + 4y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 12x + 4y + 32 + y2 = 0 + 32 Reorder the terms: -32 + 32 + 12x + 4y + y2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 12x + 4y + y2 = 0 + 32 12x + 4y + y2 = 0 + 32 Combine like terms: 0 + 32 = 32 12x + 4y + y2 = 32 Add '-4y' to each side of the equation. 12x + 4y + -4y + y2 = 32 + -4y Combine like terms: 4y + -4y = 0 12x + 0 + y2 = 32 + -4y 12x + y2 = 32 + -4y Add '-1y2' to each side of the equation. 12x + y2 + -1y2 = 32 + -4y + -1y2 Combine like terms: y2 + -1y2 = 0 12x + 0 = 32 + -4y + -1y2 12x = 32 + -4y + -1y2 Divide each side by '12'. x = 2.666666667 + -0.3333333333y + -0.08333333333y2 Simplifying x = 2.666666667 + -0.3333333333y + -0.08333333333y2
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