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