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Simplifying 14xy + -35yz + -63xz = 0 Reorder the terms: 14xy + -63xz + -35yz = 0 Solving 14xy + -63xz + -35yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35yz' to each side of the equation. 14xy + -63xz + -35yz + 35yz = 0 + 35yz Combine like terms: -35yz + 35yz = 0 14xy + -63xz + 0 = 0 + 35yz 14xy + -63xz = 0 + 35yz Remove the zero: 14xy + -63xz = 35yz Combine like terms: 35yz + -35yz = 0 14xy + -63xz + -35yz = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(2xy + -9xz + -5yz) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(2xy + -9xz + -5yz)' equal to zero and attempt to solve: Simplifying 2xy + -9xz + -5yz = 0 Solving 2xy + -9xz + -5yz = 0 Move all terms containing x to the left, all other terms to the right. Add '5yz' to each side of the equation. 2xy + -9xz + -5yz + 5yz = 0 + 5yz Combine like terms: -5yz + 5yz = 0 2xy + -9xz + 0 = 0 + 5yz 2xy + -9xz = 0 + 5yz Remove the zero: 2xy + -9xz = 5yz 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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