4a-a*b=a

Solution for 4a-a*b=a equation:

Simplifying
4a + -1a * b = a

Multiply a * b
4a + -1ab = a

Solving
4a + -1ab = 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.
4a + -1a + -1ab = a + -1a

Combine like terms: 4a + -1a = 3a
3a + -1ab = a + -1a

Combine like terms: a + -1a = 0
3a + -1ab = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(3 + -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 '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Add 'b' to each side of the equation.
-1b + b = -3 + b

Combine like terms: -1b + b = 0
0 = -3 + b

Simplifying
0 = -3 + 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}