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Simplifying x + xyz + -9x = -8xyz + 5zyx Reorder the terms: x + -9x + xyz = -8xyz + 5zyx Combine like terms: x + -9x = -8x -8x + xyz = -8xyz + 5zyx Combine like terms: -8xyz + 5xyz = -3xyz -8x + xyz = -3xyz Solving -8x + xyz = -3xyz Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3xyz' to each side of the equation. -8x + xyz + 3xyz = -3xyz + 3xyz Combine like terms: xyz + 3xyz = 4xyz -8x + 4xyz = -3xyz + 3xyz Combine like terms: -3xyz + 3xyz = 0 -8x + 4xyz = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-2 + yz) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-2 + yz)' equal to zero and attempt to solve: Simplifying -2 + yz = 0 Solving -2 + yz = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + yz = 0 + 2 Combine like terms: -2 + 2 = 0 0 + yz = 0 + 2 yz = 0 + 2 Combine like terms: 0 + 2 = 2 yz = 2 Add '-1yz' to each side of the equation. yz + -1yz = 2 + -1yz Combine like terms: yz + -1yz = 0 0 = 2 + -1yz Simplifying 0 = 2 + -1yz The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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