x^2-6xy+x^2=0

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

Simplifying
x2 + -6xy + x2 = 0

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

Combine like terms: x2 + x2 = 2x2
-6xy + 2x2 = 0

Solving
-6xy + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3y + x) = 0

Ignore the factor 2.
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 '(-3y + x)' equal to zero and attempt to solve:

Simplifying
-3y + x = 0

Reorder the terms:
x + -3y = 0

Solving
x + -3y = 0

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

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

Combine like terms: -3y + 3y = 0
x + 0 = 0 + 3y
x = 0 + 3y
Remove the zero:
x = 3y

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