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Simplifying x2 + 4y2 + 2z2 = 8 Solving x2 + 4y2 + 2z2 = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y2' to each side of the equation. x2 + 4y2 + -4y2 + 2z2 = 8 + -4y2 Combine like terms: 4y2 + -4y2 = 0 x2 + 0 + 2z2 = 8 + -4y2 x2 + 2z2 = 8 + -4y2 Add '-2z2' to each side of the equation. x2 + 2z2 + -2z2 = 8 + -4y2 + -2z2 Combine like terms: 2z2 + -2z2 = 0 x2 + 0 = 8 + -4y2 + -2z2 x2 = 8 + -4y2 + -2z2 Simplifying x2 = 8 + -4y2 + -2z2 Reorder the terms: -8 + x2 + 4y2 + 2z2 = 8 + -4y2 + -2z2 + -8 + 4y2 + 2z2 Reorder the terms: -8 + x2 + 4y2 + 2z2 = 8 + -8 + -4y2 + 4y2 + -2z2 + 2z2 Combine like terms: 8 + -8 = 0 -8 + x2 + 4y2 + 2z2 = 0 + -4y2 + 4y2 + -2z2 + 2z2 -8 + x2 + 4y2 + 2z2 = -4y2 + 4y2 + -2z2 + 2z2 Combine like terms: -4y2 + 4y2 = 0 -8 + x2 + 4y2 + 2z2 = 0 + -2z2 + 2z2 -8 + x2 + 4y2 + 2z2 = -2z2 + 2z2 Combine like terms: -2z2 + 2z2 = 0 -8 + x2 + 4y2 + 2z2 = 0 The solution to this equation could not be determined.
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