4a^2(5a^3+11)=

Solution for 4a^2(5a^3+11)= equation:

Simplifying
4a2(5a3 + 11) = 0

Reorder the terms:
4a2(11 + 5a3) = 0
(11 * 4a2 + 5a3 * 4a2) = 0
(44a2 + 20a5) = 0

Solving
44a2 + 20a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a2'.
4a2(11 + 5a3) = 0

Ignore the factor 4.
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 '(11 + 5a3)' equal to zero and attempt to solve:

Simplifying
11 + 5a3 = 0

Solving
11 + 5a3 = 0

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

Add '-11' to each side of the equation.
11 + -11 + 5a3 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5a3 = 0 + -11
5a3 = 0 + -11

Combine like terms: 0 + -11 = -11
5a3 = -11

Divide each side by '5'.
a3 = -2.2

Simplifying
a3 = -2.2

The solution to this equation could not be determined.

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