3a+2ab+5ab=0

Solution for 3a+2ab+5ab=0 equation:

Simplifying
3a + 2ab + 5ab = 0

Combine like terms: 2ab + 5ab = 7ab
3a + 7ab = 0

Solving
3a + 7ab = 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(3 + 7b) = 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 '(3 + 7b)' equal to zero and attempt to solve:

Simplifying
3 + 7b = 0

Solving
3 + 7b = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7b = 0 + -3
7b = 0 + -3

Combine like terms: 0 + -3 = -3
7b = -3

Add '-7b' to each side of the equation.
7b + -7b = -3 + -7b

Combine like terms: 7b + -7b = 0
0 = -3 + -7b

Simplifying
0 = -3 + -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}