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Simplifying 0 = 2xy + 2xz + 2yz Solving 0 = 2xy + 2xz + 2yz Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2xy' to each side of the equation. 0 + -2xy = 2xy + 2xz + -2xy + 2yz Remove the zero: -2xy = 2xy + 2xz + -2xy + 2yz Reorder the terms: -2xy = 2xy + -2xy + 2xz + 2yz Combine like terms: 2xy + -2xy = 0 -2xy = 0 + 2xz + 2yz -2xy = 2xz + 2yz Add '-2xz' to each side of the equation. -2xy + -2xz = 2xz + -2xz + 2yz Combine like terms: 2xz + -2xz = 0 -2xy + -2xz = 0 + 2yz -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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