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