x^2=xy

Solution for x^2=xy equation:

Simplifying
x2 = xy

Solving
x2 = xy

Solving for variable 'x'.

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

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

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

Simplifying
-1y + x = 0

Reorder the terms:
x + -1y = 0

Solving
x + -1y = 0

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

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

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

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