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Simplifying x2 + y2 + 12y + 32 = 0 Reorder the terms: 32 + x2 + 12y + y2 = 0 Solving 32 + x2 + 12y + 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 + x2 + 12y + -32 + y2 = 0 + -32 Reorder the terms: 32 + -32 + x2 + 12y + y2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + x2 + 12y + y2 = 0 + -32 x2 + 12y + y2 = 0 + -32 Combine like terms: 0 + -32 = -32 x2 + 12y + y2 = -32 Add '-12y' to each side of the equation. x2 + 12y + -12y + y2 = -32 + -12y Combine like terms: 12y + -12y = 0 x2 + 0 + y2 = -32 + -12y x2 + y2 = -32 + -12y Add '-1y2' to each side of the equation. x2 + y2 + -1y2 = -32 + -12y + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 = -32 + -12y + -1y2 x2 = -32 + -12y + -1y2 Simplifying x2 = -32 + -12y + -1y2 Reorder the terms: 32 + x2 + 12y + y2 = -32 + -12y + -1y2 + 32 + 12y + y2 Reorder the terms: 32 + x2 + 12y + y2 = -32 + 32 + -12y + 12y + -1y2 + y2 Combine like terms: -32 + 32 = 0 32 + x2 + 12y + y2 = 0 + -12y + 12y + -1y2 + y2 32 + x2 + 12y + y2 = -12y + 12y + -1y2 + y2 Combine like terms: -12y + 12y = 0 32 + x2 + 12y + y2 = 0 + -1y2 + y2 32 + x2 + 12y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 32 + x2 + 12y + y2 = 0 The solution to this equation could not be determined.
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