(-6a)(4a^2+a+5)=

Solution for (-6a)(4a^2+a+5)= equation:

Simplifying
(-6a)(4a2 + a + 5) = 0

Remove parenthesis around (-6a)
-6a(4a2 + a + 5) = 0

Reorder the terms:
-6a(5 + a + 4a2) = 0
(5 * -6a + a * -6a + 4a2 * -6a) = 0
(-30a + -6a2 + -24a3) = 0

Solving
-30a + -6a2 + -24a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-6a'.
-6a(5 + a + 4a2) = 0

Ignore the factor -6.
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 '(5 + a + 4a2)' equal to zero and attempt to solve:

Simplifying
5 + a + 4a2 = 0

Solving
5 + a + 4a2 = 0

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

Divide each side by '4'.
1.25 + 0.25a + a2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + 0.25a + -1.25 + a2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + 0.25a + a2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 0.25a + a2 = 0 + -1.25
0.25a + a2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
0.25a + a2 = -1.25

The a term is a.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.25a + 0.25 + a2 = -1.25 + 0.25

Reorder the terms:
0.25 + 0.25a + a2 = -1.25 + 0.25

Combine like terms: -1.25 + 0.25 = -1
0.25 + 0.25a + a2 = -1

Factor a perfect square on the left side:
(a + 0.5)(a + 0.5) = -1

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}