zx=wx

Solution for zx=wx equation:

Simplifying
zx = wx

Solving
xz = wx

Solving for variable 'x'.

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

Add '-1wx' to each side of the equation.
-1wx + xz = wx + -1wx

Combine like terms: wx + -1wx = 0
-1wx + xz = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1w + 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 '(-1w + z)' equal to zero and attempt to solve:

Simplifying
-1w + z = 0

Solving
-1w + z = 0

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

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

Combine like terms: -1w + w = 0
0 + z = 0 + w
z = 0 + w
Remove the zero:
z = w

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

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

Simplifying
0 = w + -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}