4a^3-12a^2-1840a=

Solution for 4a^3-12a^2-1840a= equation:

Simplifying
4a3 + -12a2 + -1840a = 0

Reorder the terms:
-1840a + -12a2 + 4a3 = 0

Solving
-1840a + -12a2 + 4a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-460 + -3a + a2) = 0

Factor a trinomial.
4a((-20 + -1a)(23 + -1a)) = 0

Ignore the factor 4.
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 '(-20 + -1a)' equal to zero and attempt to solve:

Simplifying
-20 + -1a = 0

Solving
-20 + -1a = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1a = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1a = 0 + 20
-1a = 0 + 20

Combine like terms: 0 + 20 = 20
-1a = 20

Divide each side by '-1'.
a = -20

Simplifying
a = -20
Subproblem 3
Set the factor '(23 + -1a)' equal to zero and attempt to solve:

Simplifying
23 + -1a = 0

Solving
23 + -1a = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1a = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1a = 0 + -23
-1a = 0 + -23

Combine like terms: 0 + -23 = -23
-1a = -23

Divide each side by '-1'.
a = 23

Simplifying
a = 23
Solution
a = {0, -20, 23}