x^2-3xy=x

Solution for x^2-3xy=x equation:

Simplifying
x2 + -3xy = x

Reorder the terms:
-3xy + x2 = x

Solving
-3xy + x2 = x

Solving for variable 'x'.

Reorder the terms:
-1x + -3xy + x2 = x + -1x

Combine like terms: x + -1x = 0
-1x + -3xy + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + -3y + 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 '(-1 + -3y + x)' equal to zero and attempt to solve:

Simplifying
-1 + -3y + x = 0

Reorder the terms:
-1 + x + -3y = 0

Solving
-1 + x + -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 + x + 1 + -3y = 0 + 1

Reorder the terms:
-1 + 1 + x + -3y = 0 + 1

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

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

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

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

Simplifying
x = 1 + 3y
Solution
x = {0, 1 + 3y}