x(z-5)=

Solution for x(z-5)= equation:

Simplifying
x(z + -5) = 0

Reorder the terms:
x(-5 + z) = 0
(-5 * x + z * x) = 0
(-5x + xz) = 0

Solving
-5x + 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(-5 + 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 '(-5 + z)' equal to zero and attempt to solve:

Simplifying
-5 + z = 0

Solving
-5 + z = 0

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

Add '5' to each side of the equation.
-5 + 5 + z = 0 + 5

Combine like terms: -5 + 5 = 0
0 + z = 0 + 5
z = 0 + 5

Combine like terms: 0 + 5 = 5
z = 5

Add '-1z' to each side of the equation.
z + -1z = 5 + -1z

Combine like terms: z + -1z = 0
0 = 5 + -1z

Simplifying
0 = 5 + -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}