=16a^3-16a

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

Simplifying
0 = 16a3 + -16a

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

Solving
0 = -16a + 16a3

Solving for variable 'a'.
Remove the zero:
16a + -16a3 = -16a + 16a3 + 16a + -16a3

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

Combine like terms: -16a + 16a = 0
16a + -16a3 = 0 + 16a3 + -16a3
16a + -16a3 = 16a3 + -16a3

Combine like terms: 16a3 + -16a3 = 0
16a + -16a3 = 0

Factor out the Greatest Common Factor (GCF), '16a'.
16a(1 + -1a2) = 0

Factor a difference between two squares.
16a((1 + a)(1 + -1a)) = 0

Ignore the factor 16.
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 + a)' equal to zero and attempt to solve:

Simplifying
1 + a = 0

Solving
1 + a = 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 + a = 0 + -1

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

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

Simplifying
a = -1
Subproblem 3
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

Solving
1 + -1a = 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 + -1a = 0 + -1

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

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

Divide each side by '-1'.
a = 1

Simplifying
a = 1
Solution
a = {0, -1, 1}