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Simplifying 2x(xyz + -4y) = 0 (xyz * 2x + -4y * 2x) = 0 Reorder the terms: (-8xy + 2x2yz) = 0 (-8xy + 2x2yz) = 0 Solving -8xy + 2x2yz = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-4 + xz) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(-4 + xz)' equal to zero and attempt to solve: Simplifying -4 + xz = 0 Solving -4 + xz = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + xz = 0 + 4 Combine like terms: -4 + 4 = 0 0 + xz = 0 + 4 xz = 0 + 4 Combine like terms: 0 + 4 = 4 xz = 4 Divide each side by 'z'. x = 4z-1 Simplifying x = 4z-1Solution
x = {4z-1}
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