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Simplifying x2 + y2 + 8y + 6 = 0 Reorder the terms: 6 + x2 + 8y + y2 = 0 Solving 6 + x2 + 8y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + x2 + 8y + -6 + y2 = 0 + -6 Reorder the terms: 6 + -6 + x2 + 8y + y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x2 + 8y + y2 = 0 + -6 x2 + 8y + y2 = 0 + -6 Combine like terms: 0 + -6 = -6 x2 + 8y + y2 = -6 Add '-8y' to each side of the equation. x2 + 8y + -8y + y2 = -6 + -8y Combine like terms: 8y + -8y = 0 x2 + 0 + y2 = -6 + -8y x2 + y2 = -6 + -8y Add '-1y2' to each side of the equation. x2 + y2 + -1y2 = -6 + -8y + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 = -6 + -8y + -1y2 x2 = -6 + -8y + -1y2 Simplifying x2 = -6 + -8y + -1y2 Reorder the terms: 6 + x2 + 8y + y2 = -6 + -8y + -1y2 + 6 + 8y + y2 Reorder the terms: 6 + x2 + 8y + y2 = -6 + 6 + -8y + 8y + -1y2 + y2 Combine like terms: -6 + 6 = 0 6 + x2 + 8y + y2 = 0 + -8y + 8y + -1y2 + y2 6 + x2 + 8y + y2 = -8y + 8y + -1y2 + y2 Combine like terms: -8y + 8y = 0 6 + x2 + 8y + y2 = 0 + -1y2 + y2 6 + x2 + 8y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 6 + x2 + 8y + y2 = 0 The solution to this equation could not be determined.
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