5*y=5*x*y

Solution for 5*y=5*x*y equation:

Simplifying
5y = 5x * y

Multiply x * y
5y = 5xy

Solving
5y = 5xy

Solving for variable 'y'.

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

Add '-5xy' to each side of the equation.
-5xy + 5y = 5xy + -5xy

Combine like terms: 5xy + -5xy = 0
-5xy + 5y = 0

Factor out the Greatest Common Factor (GCF), '5y'.
5y(-1x + 1) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(-1x + 1)' equal to zero and attempt to solve:

Simplifying
-1x + 1 = 0

Reorder the terms:
1 + -1x = 0

Solving
1 + -1x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

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

Combine like terms: -1x + x = 0
0 = -1 + x

Simplifying
0 = -1 + x

The solution to this equation could not be determined.

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