Xyz+xyz+xz=0

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Solution for Xyz+xyz+xz=0 equation: 


Simplifying
Xyz + xyz + xz = 0

Reorder the terms:
xyz + xz + yzX = 0

Solving
xyz + xz + yzX = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1yzX' to each side of the equation.
xyz + xz + yzX + -1yzX = 0 + -1yzX

Combine like terms: yzX + -1yzX = 0
xyz + xz + 0 = 0 + -1yzX
xyz + xz = 0 + -1yzX
Remove the zero:
xyz + xz = -1yzX

Combine like terms: -1yzX + yzX = 0
xyz + xz + yzX = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(xy + x + yX) = 0


Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1z' to each side of the equation.
z + -1z = 0 + -1z
Remove the zero:
0 = -1z

Simplifying
0 = -1z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(xy + x + yX)' equal to zero and attempt to solve:

Simplifying
xy + x + yX = 0

Reorder the terms:
x + xy + yX = 0

Solving
x + xy + yX = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1yX' to each side of the equation.
x + xy + yX + -1yX = 0 + -1yX

Combine like terms: yX + -1yX = 0
x + xy + 0 = 0 + -1yX
x + xy = 0 + -1yX
Remove the zero:
x + xy = -1yX

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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