-4a^2(5a^3+3a-6)=

Solution for -4a^2(5a^3+3a-6)= equation:

Simplifying
-4a2(5a3 + 3a + -6) = 0

Reorder the terms:
-4a2(-6 + 3a + 5a3) = 0
(-6 * -4a2 + 3a * -4a2 + 5a3 * -4a2) = 0
(24a2 + -12a3 + -20a5) = 0

Solving
24a2 + -12a3 + -20a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a2'.
4a2(6 + -3a + -5a3) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(6 + -3a + -5a3)' equal to zero and attempt to solve:

Simplifying
6 + -3a + -5a3 = 0

Solving
6 + -3a + -5a3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}