-3a^5+12a^4-9a^3=

Solution for -3a^5+12a^4-9a^3= equation:

Simplifying
-3a5 + 12a4 + -9a3 = 0

Reorder the terms:
-9a3 + 12a4 + -3a5 = 0

Solving
-9a3 + 12a4 + -3a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a3'.
3a3(-3 + 4a + -1a2) = 0

Factor a trinomial.
3a3((-3 + a)(1 + -1a)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve:

Simplifying
a3 = 0

Solving
a3 = 0

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

Simplifying
a3 = 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 '(-3 + a)' equal to zero and attempt to solve:

Simplifying
-3 + a = 0

Solving
-3 + a = 0

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

Add '3' to each side of the equation.
-3 + 3 + a = 0 + 3

Combine like terms: -3 + 3 = 0
0 + a = 0 + 3
a = 0 + 3

Combine like terms: 0 + 3 = 3
a = 3

Simplifying
a = 3
Subproblem 3
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
Solution
a = {3, 1}