5xy-2yx+x=

Solution for 5xy-2yx+x= equation:

Simplifying
5xy + -2yx + x = 0

Reorder the terms:
x + 5xy + -2xy = 0

Combine like terms: 5xy + -2xy = 3xy
x + 3xy = 0

Solving
x + 3xy = 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(1 + 3y) = 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 '(1 + 3y)' equal to zero and attempt to solve:

Simplifying
1 + 3y = 0

Solving
1 + 3y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3y = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -3y

The solution to this equation could not be determined.

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