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Simplifying x2 + -2u + 4xz + -8yz = 0 Reorder the terms: -2u + 4xz + x2 + -8yz = 0 Solving -2u + 4xz + x2 + -8yz = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4xz' to each side of the equation. -2u + 4xz + x2 + -4xz + -8yz = 0 + -4xz Reorder the terms: -2u + 4xz + -4xz + x2 + -8yz = 0 + -4xz Combine like terms: 4xz + -4xz = 0 -2u + 0 + x2 + -8yz = 0 + -4xz -2u + x2 + -8yz = 0 + -4xz Remove the zero: -2u + x2 + -8yz = -4xz Add '-1x2' to each side of the equation. -2u + x2 + -1x2 + -8yz = -4xz + -1x2 Combine like terms: x2 + -1x2 = 0 -2u + 0 + -8yz = -4xz + -1x2 -2u + -8yz = -4xz + -1x2 Add '8yz' to each side of the equation. -2u + -8yz + 8yz = -4xz + -1x2 + 8yz Combine like terms: -8yz + 8yz = 0 -2u + 0 = -4xz + -1x2 + 8yz -2u = -4xz + -1x2 + 8yz Divide each side by '-2'. u = 2xz + 0.5x2 + -4yz Simplifying u = 2xz + 0.5x2 + -4yz
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