x+xy+xz=

Solution for x+xy+xz= equation:

Simplifying
x + xy + xz = 0

Solving
x + xy + xz = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + y + z) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(1 + y + z)' equal to zero and attempt to solve:

Simplifying
1 + y + z = 0

Solving
1 + y + z = 0

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

Add '-1' to each side of the equation.
1 + y + -1 + z = 0 + -1

Reorder the terms:
1 + -1 + y + z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + y + z = 0 + -1
y + z = 0 + -1

Combine like terms: 0 + -1 = -1
y + z = -1

Add '-1y' to each side of the equation.
y + -1y + z = -1 + -1y

Combine like terms: y + -1y = 0
0 + z = -1 + -1y
z = -1 + -1y

Add '-1z' to each side of the equation.
z + -1z = -1 + -1y + -1z

Combine like terms: z + -1z = 0
0 = -1 + -1y + -1z

Simplifying
0 = -1 + -1y + -1z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}