16a^3b^3+24a^4b^3=0

Solution for 16a^3b^3+24a^4b^3=0 equation:

Simplifying
16a3b3 + 24a4b3 = 0

Solving
16a3b3 + 24a4b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a3b3'.
8a3b3(2 + 3a) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'a3b3' equal to zero and attempt to solve:

Simplifying
a3b3 = 0

Solving
a3b3 = 0

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

Simplifying
a3b3 = 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 '(2 + 3a)' equal to zero and attempt to solve:

Simplifying
2 + 3a = 0

Solving
2 + 3a = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3a = 0 + -2
3a = 0 + -2

Combine like terms: 0 + -2 = -2
3a = -2

Divide each side by '3'.
a = -0.6666666667

Simplifying
a = -0.6666666667
Solution
a = {-0.6666666667}