12ab-3a(2+3b)+5a=

Solution for 12ab-3a(2+3b)+5a= equation:

Simplifying
12ab + -3a(2 + 3b) + 5a = 0
12ab + (2 * -3a + 3b * -3a) + 5a = 0
12ab + (-6a + -9ab) + 5a = 0

Reorder the terms:
-6a + 5a + 12ab + -9ab = 0

Combine like terms: -6a + 5a = -1a
-1a + 12ab + -9ab = 0

Combine like terms: 12ab + -9ab = 3ab
-1a + 3ab = 0

Solving
-1a + 3ab = 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 + 3b) = 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 + 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}