Ab-bc=cdforb

Solution for Ab-bc=cdforb equation:

Simplifying
Ab + -1bc = cdforb

Solving
bA + -1bc = bcdfor

Solving for variable 'b'.

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

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

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

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

Simplifying
A + -1c + -1cdfor = 0

Solving
A + -1c + -1cdfor = 0

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

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

Reorder the terms:
A + -1A + -1c + -1cdfor = 0 + -1A

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

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

Combine like terms: -1c + c = 0
0 + -1cdfor = -1A + c
-1cdfor = -1A + c

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

Combine like terms: -1cdfor + cdfor = 0
0 = -1A + c + cdfor

Simplifying
0 = -1A + c + cdfor

The solution to this equation could not be determined.

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