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Simplifying 6xyz + -3xz + -2yz = 0 Solving 6xyz + -3xz + -2yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2yz' to each side of the equation. 6xyz + -3xz + -2yz + 2yz = 0 + 2yz Combine like terms: -2yz + 2yz = 0 6xyz + -3xz + 0 = 0 + 2yz 6xyz + -3xz = 0 + 2yz Remove the zero: 6xyz + -3xz = 2yz Combine like terms: 2yz + -2yz = 0 6xyz + -3xz + -2yz = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(6xy + -3x + -2y) = 0Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. z + -1z = 0 + -1z Remove the zero: 0 = -1z Simplifying 0 = -1z 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 '(6xy + -3x + -2y)' equal to zero and attempt to solve: Simplifying 6xy + -3x + -2y = 0 Reorder the terms: -3x + 6xy + -2y = 0 Solving -3x + 6xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. -3x + 6xy + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 -3x + 6xy + 0 = 0 + 2y -3x + 6xy = 0 + 2y Remove the zero: -3x + 6xy = 2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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