4xyz=2(xy+xz+yz)

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Solution for 4xyz=2(xy+xz+yz) equation:


Simplifying
4xyz = 2(xy + xz + yz)
4xyz = (xy * 2 + xz * 2 + yz * 2)
4xyz = (2xy + 2xz + 2yz)

Solving
4xyz = 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.
-2xy + 4xyz = 2xy + 2xz + -2xy + 2yz

Reorder the terms:
-2xy + 4xyz = 2xy + -2xy + 2xz + 2yz

Combine like terms: 2xy + -2xy = 0
-2xy + 4xyz = 0 + 2xz + 2yz
-2xy + 4xyz = 2xz + 2yz

Add '-2xz' to each side of the equation.
-2xy + 4xyz + -2xz = 2xz + -2xz + 2yz

Combine like terms: 2xz + -2xz = 0
-2xy + 4xyz + -2xz = 0 + 2yz
-2xy + 4xyz + -2xz = 2yz

Combine like terms: 2yz + -2yz = 0
-2xy + 4xyz + -2xz + -2yz = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1xy + 2xyz + -1xz + -1yz) = 0

Ignore the factor 2.

Subproblem 1

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