=12n-2n^4-10n-2n^4+n

Solution for =12n-2n^4-10n-2n^4+n equation:

Simplifying
0 = 12n + -2n4 + -10n + -2n4 + n

Reorder the terms:
0 = 12n + -10n + n + -2n4 + -2n4

Combine like terms: 12n + -10n = 2n
0 = 2n + n + -2n4 + -2n4

Combine like terms: 2n + n = 3n
0 = 3n + -2n4 + -2n4

Combine like terms: -2n4 + -2n4 = -4n4
0 = 3n + -4n4

Solving
0 = 3n + -4n4

Solving for variable 'n'.
Remove the zero:
-3n + 4n4 = 3n + -4n4 + -3n + 4n4

Reorder the terms:
-3n + 4n4 = 3n + -3n + -4n4 + 4n4

Combine like terms: 3n + -3n = 0
-3n + 4n4 = 0 + -4n4 + 4n4
-3n + 4n4 = -4n4 + 4n4

Combine like terms: -4n4 + 4n4 = 0
-3n + 4n4 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-3 + 4n3) = 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 '(-3 + 4n3)' equal to zero and attempt to solve:

Simplifying
-3 + 4n3 = 0

Solving
-3 + 4n3 = 0

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

Add '3' to each side of the equation.
-3 + 3 + 4n3 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4n3 = 0 + 3
4n3 = 0 + 3

Combine like terms: 0 + 3 = 3
4n3 = 3

Divide each side by '4'.
n3 = 0.75

Simplifying
n3 = 0.75

The solution to this equation could not be determined.

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