40a^2b+9ab-9b=

Solution for 40a^2b+9ab-9b= equation:

Simplifying
40a2b + 9ab + -9b = 0

Reorder the terms:
9ab + 40a2b + -9b = 0

Solving
9ab + 40a2b + -9b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(9a + 40a2 + -9) = 0

Factor a trinomial.
b((8a + -3)(5a + 3)) = 0

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

Simplifying
b = 0

Solving
b = 0

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

Add '-1b' to each side of the equation.
b + -1b = 0 + -1b
Remove the zero:
0 = -1b

Simplifying
0 = -1b

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 '(8a + -3)' equal to zero and attempt to solve:

Simplifying
8a + -3 = 0

Reorder the terms:
-3 + 8a = 0

Solving
-3 + 8a = 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 + 8a = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 8a = 0 + 3
8a = 0 + 3

Combine like terms: 0 + 3 = 3
8a = 3

Divide each side by '8'.
a = 0.375

Simplifying
a = 0.375
Subproblem 3
Set the factor '(5a + 3)' equal to zero and attempt to solve:

Simplifying
5a + 3 = 0

Reorder the terms:
3 + 5a = 0

Solving
3 + 5a = 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 + 5a = 0 + -3

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

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

Divide each side by '5'.
a = -0.6

Simplifying
a = -0.6
Solution
a = {0.375, -0.6}