8a^3-24a^2-4032a=

Solution for 8a^3-24a^2-4032a= equation:

Simplifying
8a3 + -24a2 + -4032a = 0

Reorder the terms:
-4032a + -24a2 + 8a3 = 0

Solving
-4032a + -24a2 + 8a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a'.
8a(-504 + -3a + a2) = 0

Factor a trinomial.
8a((-21 + -1a)(24 + -1a)) = 0

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(-21 + -1a)' equal to zero and attempt to solve:

Simplifying
-21 + -1a = 0

Solving
-21 + -1a = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1a = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1a = 0 + 21
-1a = 0 + 21

Combine like terms: 0 + 21 = 21
-1a = 21

Divide each side by '-1'.
a = -21

Simplifying
a = -21
Subproblem 3
Set the factor '(24 + -1a)' equal to zero and attempt to solve:

Simplifying
24 + -1a = 0

Solving
24 + -1a = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1a = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1a = 0 + -24
-1a = 0 + -24

Combine like terms: 0 + -24 = -24
-1a = -24

Divide each side by '-1'.
a = 24

Simplifying
a = 24
Solution
a = {0, -21, 24}