128a^8-2a^2=

Solution for 128a^8-2a^2= equation:

Simplifying
128a8 + -2a2 = 0

Reorder the terms:
-2a2 + 128a8 = 0

Solving
-2a2 + 128a8 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a2'.
2a2(-1 + 64a6) = 0

Factor a difference between two squares.
2a2((1 + 8a3)(-1 + 8a3)) = 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 + 8a3)' equal to zero and attempt to solve:

Simplifying
1 + 8a3 = 0

Solving
1 + 8a3 = 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 + 8a3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8a3 = 0 + -1
8a3 = 0 + -1

Combine like terms: 0 + -1 = -1
8a3 = -1

Divide each side by '8'.
a3 = -0.125

Simplifying
a3 = -0.125

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(-1 + 8a3)' equal to zero and attempt to solve:

Simplifying
-1 + 8a3 = 0

Solving
-1 + 8a3 = 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 + 8a3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8a3 = 0 + 1
8a3 = 0 + 1

Combine like terms: 0 + 1 = 1
8a3 = 1

Divide each side by '8'.
a3 = 0.125

Simplifying
a3 = 0.125

The solution to this equation could not be determined.

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