-3a(a^2-3a-2)=

Solution for -3a(a^2-3a-2)= equation:

Simplifying
-3a(a2 + -3a + -2) = 0

Reorder the terms:
-3a(-2 + -3a + a2) = 0
(-2 * -3a + -3a * -3a + a2 * -3a) = 0
(6a + 9a2 + -3a3) = 0

Solving
6a + 9a2 + -3a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(2 + 3a + -1a2) = 0

Ignore the factor 3.
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 '(2 + 3a + -1a2)' equal to zero and attempt to solve:

Simplifying
2 + 3a + -1a2 = 0

Solving
2 + 3a + -1a2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-2 + -3a + a2 = 0

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -3a + 2 + a2 = 0 + 2

Reorder the terms:
-2 + 2 + -3a + a2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3a + a2 = 0 + 2
-3a + a2 = 0 + 2

Combine like terms: 0 + 2 = 2
-3a + a2 = 2

The a term is -3a.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3a + 2.25 + a2 = 2 + 2.25

Reorder the terms:
2.25 + -3a + a2 = 2 + 2.25

Combine like terms: 2 + 2.25 = 4.25
2.25 + -3a + a2 = 4.25

Factor a perfect square on the left side:
(a + -1.5)(a + -1.5) = 4.25

Calculate the square root of the right side: 2.061552813

Break this problem into two subproblems by setting 
(a + -1.5) equal to 2.061552813 and -2.061552813.

Subproblem 1
a + -1.5 = 2.061552813

Simplifying
a + -1.5 = 2.061552813

Reorder the terms:
-1.5 + a = 2.061552813

Solving
-1.5 + a = 2.061552813

Solving for variable 'a'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + a = 2.061552813 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + a = 2.061552813 + 1.5
a = 2.061552813 + 1.5

Combine like terms: 2.061552813 + 1.5 = 3.561552813
a = 3.561552813

Simplifying
a = 3.561552813

Subproblem 2
a + -1.5 = -2.061552813

Simplifying
a + -1.5 = -2.061552813

Reorder the terms:
-1.5 + a = -2.061552813

Solving
-1.5 + a = -2.061552813

Solving for variable 'a'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + a = -2.061552813 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + a = -2.061552813 + 1.5
a = -2.061552813 + 1.5

Combine like terms: -2.061552813 + 1.5 = -0.561552813
a = -0.561552813

Simplifying
a = -0.561552813

Solution
The solution to the problem is based on the solutions
from the subproblems.
a = {3.561552813, -0.561552813}
Solution
a = {0, 3.561552813, -0.561552813}