Ab=bc

Solution for Ab=bc equation:

Simplifying
Ab = bc

Solving
bA = bc

Solving for variable 'b'.

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

Add '-1bc' to each side of the equation.
bA + -1bc = bc + -1bc

Combine like terms: bc + -1bc = 0
bA + -1bc = 0

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

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

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 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 b 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
b = {0}