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Simplifying x2 + y2 = 81 + -8x2 + -8y2 Solving x2 + y2 = 81 + -8x2 + -8y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x2' to each side of the equation. x2 + 8x2 + y2 = 81 + -8x2 + 8x2 + -8y2 Combine like terms: x2 + 8x2 = 9x2 9x2 + y2 = 81 + -8x2 + 8x2 + -8y2 Combine like terms: -8x2 + 8x2 = 0 9x2 + y2 = 81 + 0 + -8y2 9x2 + y2 = 81 + -8y2 Add '-1y2' to each side of the equation. 9x2 + y2 + -1y2 = 81 + -8y2 + -1y2 Combine like terms: y2 + -1y2 = 0 9x2 + 0 = 81 + -8y2 + -1y2 9x2 = 81 + -8y2 + -1y2 Combine like terms: -8y2 + -1y2 = -9y2 9x2 = 81 + -9y2 Divide each side by '9'. x2 = 9 + -1y2 Simplifying x2 = 9 + -1y2 Reorder the terms: -9 + x2 + y2 = 9 + -1y2 + -9 + y2 Reorder the terms: -9 + x2 + y2 = 9 + -9 + -1y2 + y2 Combine like terms: 9 + -9 = 0 -9 + x2 + y2 = 0 + -1y2 + y2 -9 + x2 + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -9 + x2 + y2 = 0 The solution to this equation could not be determined.
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