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Simplifying 14xy + 21yz + -42xz = 0 Reorder the terms: 14xy + -42xz + 21yz = 0 Solving 14xy + -42xz + 21yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21yz' to each side of the equation. 14xy + -42xz + 21yz + -21yz = 0 + -21yz Combine like terms: 21yz + -21yz = 0 14xy + -42xz + 0 = 0 + -21yz 14xy + -42xz = 0 + -21yz Remove the zero: 14xy + -42xz = -21yz Combine like terms: -21yz + 21yz = 0 14xy + -42xz + 21yz = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(2xy + -6xz + 3yz) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(2xy + -6xz + 3yz)' equal to zero and attempt to solve: Simplifying 2xy + -6xz + 3yz = 0 Solving 2xy + -6xz + 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 + -6xz + 3yz + -3yz = 0 + -3yz Combine like terms: 3yz + -3yz = 0 2xy + -6xz + 0 = 0 + -3yz 2xy + -6xz = 0 + -3yz Remove the zero: 2xy + -6xz = -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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