Ab(A-b)=

Solution for Ab(A-b)= equation:

Simplifying
Ab(A + -1b) = 0
(A * bA + -1b * bA) = 0
(bA2 + -1b2A) = 0

Solving
bA2 + -1b2A = 0

Solving for variable 'b'.

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

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

Simplifying
bA = 0

Solving
bA = 0

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

Simplifying
bA = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(A + -1b)' equal to zero and attempt to solve:

Simplifying
A + -1b = 0

Solving
A + -1b = 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 + -1b = 0 + -1A

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

Divide each side by '-1'.
b = A

Simplifying
b = A
Solution
b = {A}