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Simplifying X2 + y2 + 4x + 4y + 8 = 0 Reorder the terms: 8 + X2 + 4x + 4y + y2 = 0 Solving 8 + X2 + 4x + 4y + y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + X2 + 4x + 4y + -8 + y2 = 0 + -8 Reorder the terms: 8 + -8 + X2 + 4x + 4y + y2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + X2 + 4x + 4y + y2 = 0 + -8 X2 + 4x + 4y + y2 = 0 + -8 Combine like terms: 0 + -8 = -8 X2 + 4x + 4y + y2 = -8 Add '-4x' to each side of the equation. X2 + 4x + 4y + -4x + y2 = -8 + -4x Reorder the terms: X2 + 4x + -4x + 4y + y2 = -8 + -4x Combine like terms: 4x + -4x = 0 X2 + 0 + 4y + y2 = -8 + -4x X2 + 4y + y2 = -8 + -4x Add '-4y' to each side of the equation. X2 + 4y + -4y + y2 = -8 + -4x + -4y Combine like terms: 4y + -4y = 0 X2 + 0 + y2 = -8 + -4x + -4y X2 + y2 = -8 + -4x + -4y Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = -8 + -4x + -4y + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = -8 + -4x + -4y + -1y2 X2 = -8 + -4x + -4y + -1y2 Simplifying X2 = -8 + -4x + -4y + -1y2 Reorder the terms: 8 + X2 + 4x + 4y + y2 = -8 + -4x + -4y + -1y2 + 8 + 4x + 4y + y2 Reorder the terms: 8 + X2 + 4x + 4y + y2 = -8 + 8 + -4x + 4x + -4y + 4y + -1y2 + y2 Combine like terms: -8 + 8 = 0 8 + X2 + 4x + 4y + y2 = 0 + -4x + 4x + -4y + 4y + -1y2 + y2 8 + X2 + 4x + 4y + y2 = -4x + 4x + -4y + 4y + -1y2 + y2 Combine like terms: -4x + 4x = 0 8 + X2 + 4x + 4y + y2 = 0 + -4y + 4y + -1y2 + y2 8 + X2 + 4x + 4y + y2 = -4y + 4y + -1y2 + y2 Combine like terms: -4y + 4y = 0 8 + X2 + 4x + 4y + y2 = 0 + -1y2 + y2 8 + X2 + 4x + 4y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 8 + X2 + 4x + 4y + y2 = 0 The solution to this equation could not be determined.
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