x^2-5xy+6x=0

Solution for x^2-5xy+6x=0 equation:

Simplifying
x2 + -5xy + 6x = 0

Reorder the terms:
6x + -5xy + x2 = 0

Solving
6x + -5xy + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + -5y + x) = 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 + -5y + x)' equal to zero and attempt to solve:

Simplifying
6 + -5y + x = 0

Reorder the terms:
6 + x + -5y = 0

Solving
6 + x + -5y = 0

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

Add '-6' to each side of the equation.
6 + x + -6 + -5y = 0 + -6

Reorder the terms:
6 + -6 + x + -5y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x + -5y = 0 + -6
x + -5y = 0 + -6

Combine like terms: 0 + -6 = -6
x + -5y = -6

Add '5y' to each side of the equation.
x + -5y + 5y = -6 + 5y

Combine like terms: -5y + 5y = 0
x + 0 = -6 + 5y
x = -6 + 5y

Simplifying
x = -6 + 5y
Solution
x = {0, -6 + 5y}