48ab^2+40a^2b-24ab=0

Solution for 48ab^2+40a^2b-24ab=0 equation:

Simplifying
48ab2 + 40a2b + -24ab = 0

Reorder the terms:
-24ab + 48ab2 + 40a2b = 0

Solving
-24ab + 48ab2 + 40a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8ab'.
8ab(-3 + 6b + 5a) = 0

Ignore the factor 8.
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 '(-3 + 6b + 5a)' equal to zero and attempt to solve:

Simplifying
-3 + 6b + 5a = 0

Reorder the terms:
-3 + 5a + 6b = 0

Solving
-3 + 5a + 6b = 0

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

Add '3' to each side of the equation.
-3 + 5a + 3 + 6b = 0 + 3

Reorder the terms:
-3 + 3 + 5a + 6b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5a + 6b = 0 + 3
5a + 6b = 0 + 3

Combine like terms: 0 + 3 = 3
5a + 6b = 3

Add '-6b' to each side of the equation.
5a + 6b + -6b = 3 + -6b

Combine like terms: 6b + -6b = 0
5a + 0 = 3 + -6b
5a = 3 + -6b

Divide each side by '5'.
a = 0.6 + -1.2b

Simplifying
a = 0.6 + -1.2b
Solution
a = {0.6 + -1.2b}