xy-3(x+xy)-(y+z)x=

Solution for xy-3(x+xy)-(y+z)x= equation:

Simplifying
xy + -3(x + xy) + -1(y + z) * x = 0
xy + (x * -3 + xy * -3) + -1(y + z) * x = 0
xy + (-3x + -3xy) + -1(y + z) * x = 0

Reorder the terms for easier multiplication:
xy + -3x + -3xy + -1x(y + z) = 0
xy + -3x + -3xy + (y * -1x + z * -1x) = 0
xy + -3x + -3xy + (-1xy + -1xz) = 0

Reorder the terms:
-3x + xy + -3xy + -1xy + -1xz = 0

Combine like terms: xy + -3xy = -2xy
-3x + -2xy + -1xy + -1xz = 0

Combine like terms: -2xy + -1xy = -3xy
-3x + -3xy + -1xz = 0

Solving
-3x + -3xy + -1xz = 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), '-1x'.
-1x(3 + 3y + z) = 0

Ignore the factor -1.
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 + 3y + z)' equal to zero and attempt to solve:

Simplifying
3 + 3y + z = 0

Solving
3 + 3y + 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 + 3y + -3 + z = 0 + -3

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

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

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

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

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

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

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

Simplifying
0 = -3 + -3y + -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}