a+b=a*b+a

Solution for a+b=a*b+a equation:

Simplifying
a + b = a * b + a

Multiply a * b
a + b = ab + a

Reorder the terms:
a + b = a + ab

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

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

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

Solving
b = ab

Solving for variable 'b'.

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

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

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

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

Simplifying
-1a + 1 = 0

Reorder the terms:
1 + -1a = 0

Solving
1 + -1a = 0

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

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

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

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

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

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

Simplifying
0 = -1 + a

The solution to this equation could not be determined.

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