6ab-9a+8ab-3a=

Solution for 6ab-9a+8ab-3a= equation:

Simplifying
6ab + -9a + 8ab + -3a = 0

Reorder the terms:
-9a + -3a + 6ab + 8ab = 0

Combine like terms: -9a + -3a = -12a
-12a + 6ab + 8ab = 0

Combine like terms: 6ab + 8ab = 14ab
-12a + 14ab = 0

Solving
-12a + 14ab = 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(-6 + 7b) = 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 '(-6 + 7b)' equal to zero and attempt to solve:

Simplifying
-6 + 7b = 0

Solving
-6 + 7b = 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 + 7b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7b = 0 + 6
7b = 0 + 6

Combine like terms: 0 + 6 = 6
7b = 6

Add '-7b' to each side of the equation.
7b + -7b = 6 + -7b

Combine like terms: 7b + -7b = 0
0 = 6 + -7b

Simplifying
0 = 6 + -7b

The solution to this equation could not be determined.

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