an+-6ab=

Solution for an+-6ab= equation:

Simplifying
an + -6ab = 0

Reorder the terms:
-6ab + an = 0

Solving
-6ab + an = 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(-6b + n) = 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 '(-6b + n)' equal to zero and attempt to solve:

Simplifying
-6b + n = 0

Solving
-6b + n = 0

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

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

Combine like terms: -6b + 6b = 0
0 + n = 0 + 6b
n = 0 + 6b
Remove the zero:
n = 6b

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

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

Simplifying
0 = 6b + -1n

The solution to this equation could not be determined.

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