8ab-2ab+6ab+a=

Solution for 8ab-2ab+6ab+a= equation:

Simplifying
8ab + -2ab + 6ab + a = 0

Reorder the terms:
a + 8ab + -2ab + 6ab = 0

Combine like terms: 8ab + -2ab = 6ab
a + 6ab + 6ab = 0

Combine like terms: 6ab + 6ab = 12ab
a + 12ab = 0

Solving
a + 12ab = 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(1 + 12b) = 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 '(1 + 12b)' equal to zero and attempt to solve:

Simplifying
1 + 12b = 0

Solving
1 + 12b = 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 + 12b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 12b = 0 + -1
12b = 0 + -1

Combine like terms: 0 + -1 = -1
12b = -1

Add '-12b' to each side of the equation.
12b + -12b = -1 + -12b

Combine like terms: 12b + -12b = 0
0 = -1 + -12b

Simplifying
0 = -1 + -12b

The solution to this equation could not be determined.

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