6a^3-18a^2-2508a=

Solution for 6a^3-18a^2-2508a= equation:

Simplifying
6a3 + -18a2 + -2508a = 0

Reorder the terms:
-2508a + -18a2 + 6a3 = 0

Solving
-2508a + -18a2 + 6a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(-418 + -3a + a2) = 0

Factor a trinomial.
6a((-19 + -1a)(22 + -1a)) = 0

Ignore the factor 6.
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 '(-19 + -1a)' equal to zero and attempt to solve:

Simplifying
-19 + -1a = 0

Solving
-19 + -1a = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1a = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1a = 0 + 19
-1a = 0 + 19

Combine like terms: 0 + 19 = 19
-1a = 19

Divide each side by '-1'.
a = -19

Simplifying
a = -19
Subproblem 3
Set the factor '(22 + -1a)' equal to zero and attempt to solve:

Simplifying
22 + -1a = 0

Solving
22 + -1a = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1a = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1a = 0 + -22
-1a = 0 + -22

Combine like terms: 0 + -22 = -22
-1a = -22

Divide each side by '-1'.
a = 22

Simplifying
a = 22
Solution
a = {0, -19, 22}