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

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

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

Reorder the terms:
-3a2(2 + -3a + 2a2) = 0
(2 * -3a2 + -3a * -3a2 + 2a2 * -3a2) = 0
(-6a2 + 9a3 + -6a4) = 0

Solving
-6a2 + 9a3 + -6a4 = 0

Solving for variable 'a'.

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

Ignore the factor 3.
Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(-2 + 3a + -2a2)' equal to zero and attempt to solve:

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

Solving
-2 + 3a + -2a2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
1 + -1.5a + a2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.5a + -1 + a2 = 0 + -1

Reorder the terms:
1 + -1 + -1.5a + a2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5a + a2 = 0 + -1
-1.5a + a2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.5a + a2 = -1

The a term is -1.5a.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5a + 0.5625 + a2 = -1 + 0.5625

Reorder the terms:
0.5625 + -1.5a + a2 = -1 + 0.5625

Combine like terms: -1 + 0.5625 = -0.4375
0.5625 + -1.5a + a2 = -0.4375

Factor a perfect square on the left side:
(a + -0.75)(a + -0.75) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}