4a^3b^2-18a^2b^2-36ab^2=

Solution for 4a^3b^2-18a^2b^2-36ab^2= equation:

Simplifying
4a3b2 + -18a2b2 + -36ab2 = 0

Reorder the terms:
-36ab2 + -18a2b2 + 4a3b2 = 0

Solving
-36ab2 + -18a2b2 + 4a3b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2ab2'.
2ab2(-18 + -9a + 2a2) = 0

Factor a trinomial.
2ab2((-3 + -2a)(6 + -1a)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve:

Simplifying
ab2 = 0

Solving
ab2 = 0

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

Simplifying
ab2 = 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 + -2a)' equal to zero and attempt to solve:

Simplifying
-3 + -2a = 0

Solving
-3 + -2a = 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 + -2a = 0 + 3

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

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

Divide each side by '-2'.
a = -1.5

Simplifying
a = -1.5
Subproblem 3
Set the factor '(6 + -1a)' equal to zero and attempt to solve:

Simplifying
6 + -1a = 0

Solving
6 + -1a = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 0 + -6
-1a = 0 + -6

Combine like terms: 0 + -6 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6
Solution
a = {-1.5, 6}