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Simplifying 7xy + -2xz + 4xz + -12xyz + 2zx = 0 Reorder the terms: 7xy + -12xyz + -2xz + 4xz + 2xz = 0 Combine like terms: -2xz + 4xz = 2xz 7xy + -12xyz + 2xz + 2xz = 0 Combine like terms: 2xz + 2xz = 4xz 7xy + -12xyz + 4xz = 0 Solving 7xy + -12xyz + 4xz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x'. x(7y + -12yz + 4z) = 0Subproblem 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 '(7y + -12yz + 4z)' equal to zero and attempt to solve: Simplifying 7y + -12yz + 4z = 0 Solving 7y + -12yz + 4z = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 7y + -12yz + -7y + 4z = 0 + -7y Reorder the terms: 7y + -7y + -12yz + 4z = 0 + -7y Combine like terms: 7y + -7y = 0 0 + -12yz + 4z = 0 + -7y -12yz + 4z = 0 + -7y Remove the zero: -12yz + 4z = -7y Add '12yz' to each side of the equation. -12yz + 12yz + 4z = -7y + 12yz Combine like terms: -12yz + 12yz = 0 0 + 4z = -7y + 12yz 4z = -7y + 12yz Add '-4z' to each side of the equation. 4z + -4z = -7y + 12yz + -4z Combine like terms: 4z + -4z = 0 0 = -7y + 12yz + -4z Simplifying 0 = -7y + 12yz + -4z 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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