16n^3-n=0

Solution for 16n^3-n=0 equation:

Simplifying
16n3 + -1n = 0

Reorder the terms:
-1n + 16n3 = 0

Solving
-1n + 16n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1 + 16n2) = 0

Factor a difference between two squares.
n((1 + 4n)(-1 + 4n)) = 0

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(1 + 4n)' equal to zero and attempt to solve:

Simplifying
1 + 4n = 0

Solving
1 + 4n = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4n = 0 + -1
4n = 0 + -1

Combine like terms: 0 + -1 = -1
4n = -1

Divide each side by '4'.
n = -0.25

Simplifying
n = -0.25
Subproblem 3
Set the factor '(-1 + 4n)' equal to zero and attempt to solve:

Simplifying
-1 + 4n = 0

Solving
-1 + 4n = 0

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

Add '1' to each side of the equation.
-1 + 1 + 4n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4n = 0 + 1
4n = 0 + 1

Combine like terms: 0 + 1 = 1
4n = 1

Divide each side by '4'.
n = 0.25

Simplifying
n = 0.25
Solution
n = {0, -0.25, 0.25}