x(y-6)=

Solution for x(y-6)= equation:

Simplifying
x(y + -6) = 0

Reorder the terms:
x(-6 + y) = 0
(-6 * x + y * x) = 0
(-6x + xy) = 0

Solving
-6x + xy = 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(-6 + y) = 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 '(-6 + y)' equal to zero and attempt to solve:

Simplifying
-6 + y = 0

Solving
-6 + y = 0

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

Add '6' to each side of the equation.
-6 + 6 + y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + y = 0 + 6
y = 0 + 6

Combine like terms: 0 + 6 = 6
y = 6

Add '-1y' to each side of the equation.
y + -1y = 6 + -1y

Combine like terms: y + -1y = 0
0 = 6 + -1y

Simplifying
0 = 6 + -1y

The solution to this equation could not be determined.

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