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Simplifying 6xy + 4yz + -7xz + -7xz = 0 Reorder the terms: 6xy + -7xz + -7xz + 4yz = 0 Combine like terms: -7xz + -7xz = -14xz 6xy + -14xz + 4yz = 0 Solving 6xy + -14xz + 4yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4yz' to each side of the equation. 6xy + -14xz + 4yz + -4yz = 0 + -4yz Combine like terms: 4yz + -4yz = 0 6xy + -14xz + 0 = 0 + -4yz 6xy + -14xz = 0 + -4yz Remove the zero: 6xy + -14xz = -4yz Combine like terms: -4yz + 4yz = 0 6xy + -14xz + 4yz = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3xy + -7xz + 2yz) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3xy + -7xz + 2yz)' equal to zero and attempt to solve: Simplifying 3xy + -7xz + 2yz = 0 Solving 3xy + -7xz + 2yz = 0 Move all terms containing x to the left, all other terms to the right. Add '-2yz' to each side of the equation. 3xy + -7xz + 2yz + -2yz = 0 + -2yz Combine like terms: 2yz + -2yz = 0 3xy + -7xz + 0 = 0 + -2yz 3xy + -7xz = 0 + -2yz Remove the zero: 3xy + -7xz = -2yz 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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