a(b+2)+3ab-4a=

Solution for a(b+2)+3ab-4a= equation:

Simplifying
a(b + 2) + 3ab + -4a = 0

Reorder the terms:
a(2 + b) + 3ab + -4a = 0
(2 * a + b * a) + 3ab + -4a = 0
(2a + ab) + 3ab + -4a = 0

Reorder the terms:
2a + -4a + ab + 3ab = 0

Combine like terms: 2a + -4a = -2a
-2a + ab + 3ab = 0

Combine like terms: ab + 3ab = 4ab
-2a + 4ab = 0

Solving
-2a + 4ab = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-1 + 2b) = 0

Ignore the factor 2.
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 + 2b)' equal to zero and attempt to solve:

Simplifying
-1 + 2b = 0

Solving
-1 + 2b = 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 + 2b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2b = 0 + 1
2b = 0 + 1

Combine like terms: 0 + 1 = 1
2b = 1

Add '-2b' to each side of the equation.
2b + -2b = 1 + -2b

Combine like terms: 2b + -2b = 0
0 = 1 + -2b

Simplifying
0 = 1 + -2b

The solution to this equation could not be determined.

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