4n^8-4n^6=0

Solution for 4n^8-4n^6=0 equation:

Simplifying
4n8 + -4n6 = 0

Reorder the terms:
-4n6 + 4n8 = 0

Solving
-4n6 + 4n8 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4n6'.
4n6(-1 + n2) = 0

Factor a difference between two squares.
4n6((1 + n)(-1 + n)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'n6' equal to zero and attempt to solve:

Simplifying
n6 = 0

Solving
n6 = 0

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

Simplifying
n6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve:

Simplifying
1 + n = 0

Solving
1 + n = 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 + n = 0 + -1

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

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

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

Simplifying
-1 + n = 0

Solving
-1 + n = 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 + n = 0 + 1

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

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

Simplifying
n = 1
Solution
n = {-1, 1}