4ab-9a+5ab-6a=

Solution for 4ab-9a+5ab-6a= equation:

Simplifying
4ab + -9a + 5ab + -6a = 0

Reorder the terms:
-9a + -6a + 4ab + 5ab = 0

Combine like terms: -9a + -6a = -15a
-15a + 4ab + 5ab = 0

Combine like terms: 4ab + 5ab = 9ab
-15a + 9ab = 0

Solving
-15a + 9ab = 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), '3a'.
3a(-5 + 3b) = 0

Ignore the factor 3.
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 '(-5 + 3b)' equal to zero and attempt to solve:

Simplifying
-5 + 3b = 0

Solving
-5 + 3b = 0

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

Add '5' to each side of the equation.
-5 + 5 + 3b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3b = 0 + 5
3b = 0 + 5

Combine like terms: 0 + 5 = 5
3b = 5

Add '-3b' to each side of the equation.
3b + -3b = 5 + -3b

Combine like terms: 3b + -3b = 0
0 = 5 + -3b

Simplifying
0 = 5 + -3b

The solution to this equation could not be determined.

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