[ab]=a

Solution for [ab]=a equation:

Simplifying
[ab] = a
ab = a

Solving
ab = a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-1a + ab = a + -1a

Combine like terms: a + -1a = 0
-1a + ab = 0

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

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

Simplifying
a = 0

Solving
a = 0

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

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

Simplifying
-1 + b = 0

Solving
-1 + b = 0

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

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

Combine like terms: -1 + 1 = 0
0 + b = 0 + 1
b = 0 + 1

Combine like terms: 0 + 1 = 1
b = 1

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

Combine like terms: b + -1b = 0
0 = 1 + -1b

Simplifying
0 = 1 + -1b

The solution to this equation could not be determined.

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