3a+2ab-a+4ab=

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

Simplifying
3a + 2ab + -1a + 4ab = 0

Reorder the terms:
3a + -1a + 2ab + 4ab = 0

Combine like terms: 3a + -1a = 2a
2a + 2ab + 4ab = 0

Combine like terms: 2ab + 4ab = 6ab
2a + 6ab = 0

Solving
2a + 6ab = 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 + 3b) = 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 + 3b)' equal to zero and attempt to solve:

Simplifying
1 + 3b = 0

Solving
1 + 3b = 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 + 3b = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -3b

The solution to this equation could not be determined.

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