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Simplifying 14xy + -6yz + 10xz = 0 Reorder the terms: 14xy + 10xz + -6yz = 0 Solving 14xy + 10xz + -6yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6yz' to each side of the equation. 14xy + 10xz + -6yz + 6yz = 0 + 6yz Combine like terms: -6yz + 6yz = 0 14xy + 10xz + 0 = 0 + 6yz 14xy + 10xz = 0 + 6yz Remove the zero: 14xy + 10xz = 6yz Combine like terms: 6yz + -6yz = 0 14xy + 10xz + -6yz = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7xy + 5xz + -3yz) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7xy + 5xz + -3yz)' equal to zero and attempt to solve: Simplifying 7xy + 5xz + -3yz = 0 Solving 7xy + 5xz + -3yz = 0 Move all terms containing x to the left, all other terms to the right. Add '3yz' to each side of the equation. 7xy + 5xz + -3yz + 3yz = 0 + 3yz Combine like terms: -3yz + 3yz = 0 7xy + 5xz + 0 = 0 + 3yz 7xy + 5xz = 0 + 3yz Remove the zero: 7xy + 5xz = 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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