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Simplifying y2 + 12y + 8x + 60 = 0 Reorder the terms: 60 + 8x + 12y + y2 = 0 Solving 60 + 8x + 12y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + 8x + 12y + -60 + y2 = 0 + -60 Reorder the terms: 60 + -60 + 8x + 12y + y2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 8x + 12y + y2 = 0 + -60 8x + 12y + y2 = 0 + -60 Combine like terms: 0 + -60 = -60 8x + 12y + y2 = -60 Add '-12y' to each side of the equation. 8x + 12y + -12y + y2 = -60 + -12y Combine like terms: 12y + -12y = 0 8x + 0 + y2 = -60 + -12y 8x + y2 = -60 + -12y Add '-1y2' to each side of the equation. 8x + y2 + -1y2 = -60 + -12y + -1y2 Combine like terms: y2 + -1y2 = 0 8x + 0 = -60 + -12y + -1y2 8x = -60 + -12y + -1y2 Divide each side by '8'. x = -7.5 + -1.5y + -0.125y2 Simplifying x = -7.5 + -1.5y + -0.125y2
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