a=a*b

Solution for a=a*b equation:

Simplifying
a = a * b

Multiply a * b
a = ab

Solving
a = ab

Solving for variable 'a'.

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

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

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

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

Simplifying
1 + -1b = 0

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

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

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

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

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

Simplifying
0 = -1 + b

The solution to this equation could not be determined.

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