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Simplifying x2 + y2 + 3z2 = 1 Solving x2 + y2 + 3z2 = 1 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 + 3z2 = 1 + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 + 3z2 = 1 + -1y2 x2 + 3z2 = 1 + -1y2 Add '-3z2' to each side of the equation. x2 + 3z2 + -3z2 = 1 + -1y2 + -3z2 Combine like terms: 3z2 + -3z2 = 0 x2 + 0 = 1 + -1y2 + -3z2 x2 = 1 + -1y2 + -3z2 Simplifying x2 = 1 + -1y2 + -3z2 Reorder the terms: -1 + x2 + y2 + 3z2 = 1 + -1y2 + -3z2 + -1 + y2 + 3z2 Reorder the terms: -1 + x2 + y2 + 3z2 = 1 + -1 + -1y2 + y2 + -3z2 + 3z2 Combine like terms: 1 + -1 = 0 -1 + x2 + y2 + 3z2 = 0 + -1y2 + y2 + -3z2 + 3z2 -1 + x2 + y2 + 3z2 = -1y2 + y2 + -3z2 + 3z2 Combine like terms: -1y2 + y2 = 0 -1 + x2 + y2 + 3z2 = 0 + -3z2 + 3z2 -1 + x2 + y2 + 3z2 = -3z2 + 3z2 Combine like terms: -3z2 + 3z2 = 0 -1 + x2 + y2 + 3z2 = 0 The solution to this equation could not be determined.
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