2ab+3ac+6ac+4ab+ab=

Solution for 2ab+3ac+6ac+4ab+ab= equation:

Simplifying
2ab + 3ac + 6ac + 4ab + ab = 0

Reorder the terms:
2ab + 4ab + ab + 3ac + 6ac = 0

Combine like terms: 2ab + 4ab = 6ab
6ab + ab + 3ac + 6ac = 0

Combine like terms: 6ab + ab = 7ab
7ab + 3ac + 6ac = 0

Combine like terms: 3ac + 6ac = 9ac
7ab + 9ac = 0

Solving
7ab + 9ac = 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), 'a'.
a(7b + 9c) = 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 '(7b + 9c)' equal to zero and attempt to solve:

Simplifying
7b + 9c = 0

Solving
7b + 9c = 0

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

Add '-7b' to each side of the equation.
7b + -7b + 9c = 0 + -7b

Combine like terms: 7b + -7b = 0
0 + 9c = 0 + -7b
9c = 0 + -7b
Remove the zero:
9c = -7b

Add '-9c' to each side of the equation.
9c + -9c = -7b + -9c

Combine like terms: 9c + -9c = 0
0 = -7b + -9c

Simplifying
0 = -7b + -9c

The solution to this equation could not be determined.

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