9a^3-27a^2-4950a=

Solution for 9a^3-27a^2-4950a= equation:

Simplifying
9a3 + -27a2 + -4950a = 0

Reorder the terms:
-4950a + -27a2 + 9a3 = 0

Solving
-4950a + -27a2 + 9a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '9a'.
9a(-550 + -3a + a2) = 0

Factor a trinomial.
9a((-22 + -1a)(25 + -1a)) = 0

Ignore the factor 9.
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 '(-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
Subproblem 3
Set the factor '(25 + -1a)' equal to zero and attempt to solve:

Simplifying
25 + -1a = 0

Solving
25 + -1a = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1a = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1a = 0 + -25
-1a = 0 + -25

Combine like terms: 0 + -25 = -25
-1a = -25

Divide each side by '-1'.
a = 25

Simplifying
a = 25
Solution
a = {0, -22, 25}