2a^2(4a^2+4)=0

Solution for 2a^2(4a^2+4)=0 equation:

Simplifying
2a2(4a2 + 4) = 0

Reorder the terms:
2a2(4 + 4a2) = 0
(4 * 2a2 + 4a2 * 2a2) = 0
(8a2 + 8a4) = 0

Solving
8a2 + 8a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a2'.
8a2(1 + a2) = 0

Ignore the factor 8.
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 + a2)' equal to zero and attempt to solve:

Simplifying
1 + a2 = 0

Solving
1 + a2 = 0

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

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

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

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

Simplifying
a2 = -1

The solution to this equation could not be determined.

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