X*x=x^2

Solution for X*x=x^2 equation:

Simplifying
X * x = x2

Multiply X * x
xX = x2

Solving
xX = x2

Solving for variable 'x'.

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

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

Simplifying
X + -1x = 0

Solving
X + -1x = 0

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

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

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

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

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