3a^9-24a^8-27a^7=

Solution for 3a^9-24a^8-27a^7= equation:

Simplifying
3a9 + -24a8 + -27a7 = 0

Reorder the terms:
-27a7 + -24a8 + 3a9 = 0

Solving
-27a7 + -24a8 + 3a9 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a7'.
3a7(-9 + -8a + a2) = 0

Factor a trinomial.
3a7((-1 + -1a)(9 + -1a)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'a7' equal to zero and attempt to solve:

Simplifying
a7 = 0

Solving
a7 = 0

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

Simplifying
a7 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-1 + -1a)' equal to zero and attempt to solve:

Simplifying
-1 + -1a = 0

Solving
-1 + -1a = 0

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

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

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

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

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

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

Simplifying
9 + -1a = 0

Solving
9 + -1a = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1a = 0 + -9
-1a = 0 + -9

Combine like terms: 0 + -9 = -9
-1a = -9

Divide each side by '-1'.
a = 9

Simplifying
a = 9
Solution
a = {-1, 9}