Bc-cx=-c

Solution for Bc-cx=-c equation:

Simplifying
Bc + -1cx = -1c

Solving
cB + -1cx = -1c

Solving for variable 'c'.

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

Add 'c' to each side of the equation.
cB + c + -1cx = -1c + c

Reorder the terms:
c + cB + -1cx = -1c + c

Combine like terms: -1c + c = 0
c + cB + -1cx = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(1 + B + -1x) = 0

Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0
Subproblem 2
Set the factor '(1 + B + -1x)' equal to zero and attempt to solve:

Simplifying
1 + B + -1x = 0

Solving
1 + B + -1x = 0

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

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

Reorder the terms:
1 + -1 + B + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + B + -1x = 0 + -1
B + -1x = 0 + -1

Combine like terms: 0 + -1 = -1
B + -1x = -1

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

Combine like terms: B + -1B = 0
0 + -1x = -1 + -1B
-1x = -1 + -1B

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

Combine like terms: -1x + x = 0
0 = -1 + -1B + x

Simplifying
0 = -1 + -1B + x

The solution to this equation could not be determined.

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