a+b*c=a+ab

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

Simplifying
a + b * c = a + ab

Multiply b * c
a + bc = a + ab

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

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

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

Solving
bc = 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 + bc = ab + -1ab

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

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

Simplifying
-1a + c = 0

Solving
-1a + c = 0

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

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

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

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

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

Simplifying
0 = a + -1c

The solution to this equation could not be determined.

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