=ab+6a

Solution for =ab+6a equation:

Simplifying
0 = ab + 6a

Reorder the terms:
0 = 6a + ab

Solving
0 = 6a + ab

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
0 + -6a = 6a + -6a + ab
Remove the zero:
-6a = 6a + -6a + ab

Combine like terms: 6a + -6a = 0
-6a = 0 + ab
-6a = ab

Add '-1ab' to each side of the equation.
-6a + -1ab = ab + -1ab

Combine like terms: ab + -1ab = 0
-6a + -1ab = 0

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(6 + b) = 0

Ignore the factor -1.
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 '(6 + b)' equal to zero and attempt to solve:

Simplifying
6 + b = 0

Solving
6 + b = 0

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

Add '-6' to each side of the equation.
6 + -6 + b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + b = 0 + -6
b = 0 + -6

Combine like terms: 0 + -6 = -6
b = -6

Add '-1b' to each side of the equation.
b + -1b = -6 + -1b

Combine like terms: b + -1b = 0
0 = -6 + -1b

Simplifying
0 = -6 + -1b

The solution to this equation could not be determined.

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