3x+xy+xz=

Solution for 3x+xy+xz= equation:

Simplifying
3x + xy + xz = 0

Solving
3x + 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(3 + 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 '(3 + y + z)' equal to zero and attempt to solve:

Simplifying
3 + y + z = 0

Solving
3 + y + z = 0

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

Add '-3' to each side of the equation.
3 + y + -3 + z = 0 + -3

Reorder the terms:
3 + -3 + y + z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + y + z = 0 + -3
y + z = 0 + -3

Combine like terms: 0 + -3 = -3
y + z = -3

Add '-1y' to each side of the equation.
y + -1y + z = -3 + -1y

Combine like terms: y + -1y = 0
0 + z = -3 + -1y
z = -3 + -1y

Add '-1z' to each side of the equation.
z + -1z = -3 + -1y + -1z

Combine like terms: z + -1z = 0
0 = -3 + -1y + -1z

Simplifying
0 = -3 + -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}