16a^3-8a=

Solution for 16a^3-8a= equation:

Simplifying
16a3 + -8a = 0

Reorder the terms:
-8a + 16a3 = 0

Solving
-8a + 16a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a'.
8a(-1 + 2a2) = 0

Ignore the factor 8.
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 '(-1 + 2a2)' equal to zero and attempt to solve:

Simplifying
-1 + 2a2 = 0

Solving
-1 + 2a2 = 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 + 2a2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2a2 = 0 + 1
2a2 = 0 + 1

Combine like terms: 0 + 1 = 1
2a2 = 1

Divide each side by '2'.
a2 = 0.5

Simplifying
a2 = 0.5

Take the square root of each side:
a = {-0.707106781, 0.707106781}
Solution
a = {0, -0.707106781, 0.707106781}