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