-2a^2(-a^3+4a^2-3a+1)=

Solution for -2a^2(-a^3+4a^2-3a+1)= equation:

Simplifying
-2a2(-1a3 + 4a2 + -3a + 1) = 0

Reorder the terms:
-2a2(1 + -3a + 4a2 + -1a3) = 0
(1 * -2a2 + -3a * -2a2 + 4a2 * -2a2 + -1a3 * -2a2) = 0
(-2a2 + 6a3 + -8a4 + 2a5) = 0

Solving
-2a2 + 6a3 + -8a4 + 2a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a2'.
2a2(-1 + 3a + -4a2 + a3) = 0

Ignore the factor 2.
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 '(-1 + 3a + -4a2 + a3)' equal to zero and attempt to solve:

Simplifying
-1 + 3a + -4a2 + a3 = 0

Solving
-1 + 3a + -4a2 + a3 = 0

The solution to this equation could not be determined.

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