R(x)=C(x)

Solution for R(x)=C(x) equation:

Simplifying
R(x) = C(x)

Multiply R * x
xR = C(x)

Multiply C * x
xR = xC

Solving
xR = xC

Solving for variable 'x'.

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

Add '-1xC' to each side of the equation.
-1xC + xR = xC + -1xC

Combine like terms: xC + -1xC = 0
-1xC + xR = 0

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

Simplifying
-1C + R = 0

Solving
-1C + R = 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 + R = 0 + C

Combine like terms: -1C + C = 0
0 + R = 0 + C
R = 0 + C
Remove the zero:
R = C

Add '-1R' to each side of the equation.
R + -1R = C + -1R

Combine like terms: R + -1R = 0
0 = C + -1R

Simplifying
0 = C + -1R

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}