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Simplifying X2 + y2 + 8x + -12y + 27 = 0 Reorder the terms: 27 + X2 + 8x + -12y + y2 = 0 Solving 27 + X2 + 8x + -12y + 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 + X2 + 8x + -12y + -27 + y2 = 0 + -27 Reorder the terms: 27 + -27 + X2 + 8x + -12y + y2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + X2 + 8x + -12y + y2 = 0 + -27 X2 + 8x + -12y + y2 = 0 + -27 Combine like terms: 0 + -27 = -27 X2 + 8x + -12y + y2 = -27 Add '-8x' to each side of the equation. X2 + 8x + -12y + -8x + y2 = -27 + -8x Reorder the terms: X2 + 8x + -8x + -12y + y2 = -27 + -8x Combine like terms: 8x + -8x = 0 X2 + 0 + -12y + y2 = -27 + -8x X2 + -12y + y2 = -27 + -8x Add '12y' to each side of the equation. X2 + -12y + 12y + y2 = -27 + -8x + 12y Combine like terms: -12y + 12y = 0 X2 + 0 + y2 = -27 + -8x + 12y X2 + y2 = -27 + -8x + 12y Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = -27 + -8x + 12y + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = -27 + -8x + 12y + -1y2 X2 = -27 + -8x + 12y + -1y2 Simplifying X2 = -27 + -8x + 12y + -1y2 Reorder the terms: 27 + X2 + 8x + -12y + y2 = -27 + -8x + 12y + -1y2 + 27 + 8x + -12y + y2 Reorder the terms: 27 + X2 + 8x + -12y + y2 = -27 + 27 + -8x + 8x + 12y + -12y + -1y2 + y2 Combine like terms: -27 + 27 = 0 27 + X2 + 8x + -12y + y2 = 0 + -8x + 8x + 12y + -12y + -1y2 + y2 27 + X2 + 8x + -12y + y2 = -8x + 8x + 12y + -12y + -1y2 + y2 Combine like terms: -8x + 8x = 0 27 + X2 + 8x + -12y + y2 = 0 + 12y + -12y + -1y2 + y2 27 + X2 + 8x + -12y + y2 = 12y + -12y + -1y2 + y2 Combine like terms: 12y + -12y = 0 27 + X2 + 8x + -12y + y2 = 0 + -1y2 + y2 27 + X2 + 8x + -12y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 27 + X2 + 8x + -12y + y2 = 0 The solution to this equation could not be determined.
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