A(x)=C(x)

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

Simplifying
A(x) = C(x)

Multiply A * x
xA = C(x)

Multiply C * x
xA = xC

Solving
xA = 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.
xA + -1xC = xC + -1xC

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

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

Simplifying
A + -1C = 0

Solving
A + -1C = 0

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

Add '-1A' to each side of the equation.
A + -1A + -1C = 0 + -1A

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

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

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

Simplifying
0 = -1A + C

The solution to this equation could not be determined.

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