=3n-2n^4+n+7n^4-2n

Solution for =3n-2n^4+n+7n^4-2n equation:

Simplifying
0 = 3n + -2n4 + n + 7n4 + -2n

Reorder the terms:
0 = 3n + n + -2n + -2n4 + 7n4

Combine like terms: 3n + n = 4n
0 = 4n + -2n + -2n4 + 7n4

Combine like terms: 4n + -2n = 2n
0 = 2n + -2n4 + 7n4

Combine like terms: -2n4 + 7n4 = 5n4
0 = 2n + 5n4

Solving
0 = 2n + 5n4

Solving for variable 'n'.
Remove the zero:
-2n + -5n4 = 2n + 5n4 + -2n + -5n4

Reorder the terms:
-2n + -5n4 = 2n + -2n + 5n4 + -5n4

Combine like terms: 2n + -2n = 0
-2n + -5n4 = 0 + 5n4 + -5n4
-2n + -5n4 = 5n4 + -5n4

Combine like terms: 5n4 + -5n4 = 0
-2n + -5n4 = 0

Factor out the Greatest Common Factor (GCF), '-1n'.
-1n(2 + 5n3) = 0

Ignore the factor -1.
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 '(2 + 5n3)' equal to zero and attempt to solve:

Simplifying
2 + 5n3 = 0

Solving
2 + 5n3 = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5n3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5n3 = 0 + -2
5n3 = 0 + -2

Combine like terms: 0 + -2 = -2
5n3 = -2

Divide each side by '5'.
n3 = -0.4

Simplifying
n3 = -0.4

The solution to this equation could not be determined.

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