3a^2b+7ab^2=0

Solution for 3a^2b+7ab^2=0 equation:

Simplifying
3a2b + 7ab2 = 0

Reorder the terms:
7ab2 + 3a2b = 0

Solving
7ab2 + 3a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab'.
ab(7b + 3a) = 0

Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve:

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(7b + 3a)' equal to zero and attempt to solve:

Simplifying
7b + 3a = 0

Reorder the terms:
3a + 7b = 0

Solving
3a + 7b = 0

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

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

Combine like terms: 7b + -7b = 0
3a + 0 = 0 + -7b
3a = 0 + -7b
Remove the zero:
3a = -7b

Divide each side by '3'.
a = -2.333333333b

Simplifying
a = -2.333333333b
Solution
a = {-2.333333333b}