6x^3y-13x^2y+6x=0

Solution for 6x^3y-13x^2y+6x=0 equation:

Simplifying
6x3y + -13x2y + 6x = 0

Reorder the terms:
6x + -13x2y + 6x3y = 0

Solving
6x + -13x2y + 6x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + -13xy + 6x2y) = 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 + -13xy + 6x2y)' equal to zero and attempt to solve:

Simplifying
6 + -13xy + 6x2y = 0

Solving
6 + -13xy + 6x2y = 0

The solution to this equation could not be determined.

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