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Simplifying x2 + y2 + 4z2 = 10 Solving x2 + y2 + 4z2 = 10 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 + 4z2 = 10 + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 + 4z2 = 10 + -1y2 x2 + 4z2 = 10 + -1y2 Add '-4z2' to each side of the equation. x2 + 4z2 + -4z2 = 10 + -1y2 + -4z2 Combine like terms: 4z2 + -4z2 = 0 x2 + 0 = 10 + -1y2 + -4z2 x2 = 10 + -1y2 + -4z2 Simplifying x2 = 10 + -1y2 + -4z2 Reorder the terms: -10 + x2 + y2 + 4z2 = 10 + -1y2 + -4z2 + -10 + y2 + 4z2 Reorder the terms: -10 + x2 + y2 + 4z2 = 10 + -10 + -1y2 + y2 + -4z2 + 4z2 Combine like terms: 10 + -10 = 0 -10 + x2 + y2 + 4z2 = 0 + -1y2 + y2 + -4z2 + 4z2 -10 + x2 + y2 + 4z2 = -1y2 + y2 + -4z2 + 4z2 Combine like terms: -1y2 + y2 = 0 -10 + x2 + y2 + 4z2 = 0 + -4z2 + 4z2 -10 + x2 + y2 + 4z2 = -4z2 + 4z2 Combine like terms: -4z2 + 4z2 = 0 -10 + x2 + y2 + 4z2 = 0 The solution to this equation could not be determined.
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