-3a(4a^2-5a+2)=

Solution for -3a(4a^2-5a+2)= equation:

Simplifying
-3a(4a2 + -5a + 2) = 0

Reorder the terms:
-3a(2 + -5a + 4a2) = 0
(2 * -3a + -5a * -3a + 4a2 * -3a) = 0
(-6a + 15a2 + -12a3) = 0

Solving
-6a + 15a2 + -12a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-2 + 5a + -4a2) = 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 + 5a + -4a2)' equal to zero and attempt to solve:

Simplifying
-2 + 5a + -4a2 = 0

Solving
-2 + 5a + -4a2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
0.5 + -1.25a + a2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1.25a + -0.5 + a2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1.25a + a2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.25a + a2 = 0 + -0.5
-1.25a + a2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1.25a + a2 = -0.5

The a term is -1.25a.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25a + 0.390625 + a2 = -0.5 + 0.390625

Reorder the terms:
0.390625 + -1.25a + a2 = -0.5 + 0.390625

Combine like terms: -0.5 + 0.390625 = -0.109375
0.390625 + -1.25a + a2 = -0.109375

Factor a perfect square on the left side:
(a + -0.625)(a + -0.625) = -0.109375

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}