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Simplifying y2 + -12y + 6x + 36 = 0 Reorder the terms: 36 + 6x + -12y + y2 = 0 Solving 36 + 6x + -12y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 6x + -12y + -36 + y2 = 0 + -36 Reorder the terms: 36 + -36 + 6x + -12y + y2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 6x + -12y + y2 = 0 + -36 6x + -12y + y2 = 0 + -36 Combine like terms: 0 + -36 = -36 6x + -12y + y2 = -36 Add '12y' to each side of the equation. 6x + -12y + 12y + y2 = -36 + 12y Combine like terms: -12y + 12y = 0 6x + 0 + y2 = -36 + 12y 6x + y2 = -36 + 12y Add '-1y2' to each side of the equation. 6x + y2 + -1y2 = -36 + 12y + -1y2 Combine like terms: y2 + -1y2 = 0 6x + 0 = -36 + 12y + -1y2 6x = -36 + 12y + -1y2 Divide each side by '6'. x = -6 + 2y + -0.1666666667y2 Simplifying x = -6 + 2y + -0.1666666667y2
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