x^2=cx

Solution for x^2=cx equation:

Simplifying
x2 = cx

Solving
x2 = cx

Solving for variable 'x'.

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

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

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

Simplifying
-1c + x = 0

Solving
-1c + x = 0

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

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

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

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