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Simplifying 3x2yz + -4zyx2 + 2xyz2 = 0 Reorder the terms: 2xyz2 + 3x2yz + -4x2yz = 0 Combine like terms: 3x2yz + -4x2yz = -1x2yz 2xyz2 + -1x2yz = 0 Solving 2xyz2 + -1x2yz = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xyz'. xyz(2z + -1x) = 0Subproblem 1
Set the factor 'xyz' equal to zero and attempt to solve: Simplifying xyz = 0 Solving xyz = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xyz = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2z + -1x)' equal to zero and attempt to solve: Simplifying 2z + -1x = 0 Reorder the terms: -1x + 2z = 0 Solving -1x + 2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-2z' to each side of the equation. -1x + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 -1x + 0 = 0 + -2z -1x = 0 + -2z Remove the zero: -1x = -2z Divide each side by '-1'. x = 2z Simplifying x = 2zSolution
x = {2z}
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