3ab+15ab-3a+9a=

Solution for 3ab+15ab-3a+9a= equation:

Simplifying
3ab + 15ab + -3a + 9a = 0

Reorder the terms:
-3a + 9a + 3ab + 15ab = 0

Combine like terms: -3a + 9a = 6a
6a + 3ab + 15ab = 0

Combine like terms: 3ab + 15ab = 18ab
6a + 18ab = 0

Solving
6a + 18ab = 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), '6a'.
6a(1 + 3b) = 0

Ignore the factor 6.
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 + 3b)' equal to zero and attempt to solve:

Simplifying
1 + 3b = 0

Solving
1 + 3b = 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 + 3b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3b = 0 + -1
3b = 0 + -1

Combine like terms: 0 + -1 = -1
3b = -1

Add '-3b' to each side of the equation.
3b + -3b = -1 + -3b

Combine like terms: 3b + -3b = 0
0 = -1 + -3b

Simplifying
0 = -1 + -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}