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Simplifying y2 + 12x + 6y + -27 = 0 Reorder the terms: -27 + 12x + 6y + y2 = 0 Solving -27 + 12x + 6y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 12x + 6y + 27 + y2 = 0 + 27 Reorder the terms: -27 + 27 + 12x + 6y + y2 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 12x + 6y + y2 = 0 + 27 12x + 6y + y2 = 0 + 27 Combine like terms: 0 + 27 = 27 12x + 6y + y2 = 27 Add '-6y' to each side of the equation. 12x + 6y + -6y + y2 = 27 + -6y Combine like terms: 6y + -6y = 0 12x + 0 + y2 = 27 + -6y 12x + y2 = 27 + -6y Add '-1y2' to each side of the equation. 12x + y2 + -1y2 = 27 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 12x + 0 = 27 + -6y + -1y2 12x = 27 + -6y + -1y2 Divide each side by '12'. x = 2.25 + -0.5y + -0.08333333333y2 Simplifying x = 2.25 + -0.5y + -0.08333333333y2
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