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Simplifying -9xyz(-2xy + 3yz + -4xz) = 0 Reorder the terms: -9xyz(-2xy + -4xz + 3yz) = 0 (-2xy * -9xyz + -4xz * -9xyz + 3yz * -9xyz) = 0 Reorder the terms: (-27xy2z2 + 36x2yz2 + 18x2y2z) = 0 (-27xy2z2 + 36x2yz2 + 18x2y2z) = 0 Solving -27xy2z2 + 36x2yz2 + 18x2y2z = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9xyz'. 9xyz(-3yz + 4xz + 2xy) = 0 Ignore the factor 9.Subproblem 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 '(-3yz + 4xz + 2xy)' equal to zero and attempt to solve: Simplifying -3yz + 4xz + 2xy = 0 Reorder the terms: 2xy + 4xz + -3yz = 0 Solving 2xy + 4xz + -3yz = 0 Move all terms containing x to the left, all other terms to the right. Add '3yz' to each side of the equation. 2xy + 4xz + -3yz + 3yz = 0 + 3yz Combine like terms: -3yz + 3yz = 0 2xy + 4xz + 0 = 0 + 3yz 2xy + 4xz = 0 + 3yz Remove the zero: 2xy + 4xz = 3yz 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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