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Simplifying x2 + y2 + 8y + 9 = 0 Reorder the terms: 9 + x2 + 8y + y2 = 0 Solving 9 + x2 + 8y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + x2 + 8y + -9 + y2 = 0 + -9 Reorder the terms: 9 + -9 + x2 + 8y + y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x2 + 8y + y2 = 0 + -9 x2 + 8y + y2 = 0 + -9 Combine like terms: 0 + -9 = -9 x2 + 8y + y2 = -9 Add '-8y' to each side of the equation. x2 + 8y + -8y + y2 = -9 + -8y Combine like terms: 8y + -8y = 0 x2 + 0 + y2 = -9 + -8y x2 + y2 = -9 + -8y Add '-1y2' to each side of the equation. x2 + y2 + -1y2 = -9 + -8y + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 = -9 + -8y + -1y2 x2 = -9 + -8y + -1y2 Simplifying x2 = -9 + -8y + -1y2 Reorder the terms: 9 + x2 + 8y + y2 = -9 + -8y + -1y2 + 9 + 8y + y2 Reorder the terms: 9 + x2 + 8y + y2 = -9 + 9 + -8y + 8y + -1y2 + y2 Combine like terms: -9 + 9 = 0 9 + x2 + 8y + y2 = 0 + -8y + 8y + -1y2 + y2 9 + x2 + 8y + y2 = -8y + 8y + -1y2 + y2 Combine like terms: -8y + 8y = 0 9 + x2 + 8y + y2 = 0 + -1y2 + y2 9 + x2 + 8y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 9 + x2 + 8y + y2 = 0 The solution to this equation could not be determined.
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