0=x^2-xy

Solution for 0=x^2-xy equation:

Simplifying
0 = x2 + -1xy

Reorder the terms:
0 = -1xy + x2

Solving
0 = -1xy + x2

Solving for variable 'x'.
Remove the zero:
xy + -1x2 = -1xy + x2 + xy + -1x2

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

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

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

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

Simplifying
y + -1x = 0

Reorder the terms:
-1x + y = 0

Solving
-1x + y = 0

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

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

Combine like terms: y + -1y = 0
-1x + 0 = 0 + -1y
-1x = 0 + -1y
Remove the zero:
-1x = -1y

Divide each side by '-1'.
x = y

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