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

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

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

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

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

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

Combine like terms: 2n4 + 7n4 = 9n4
2n + 9n4 = 0

Solving
2n + 9n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(2 + 9n3) = 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 '(2 + 9n3)' equal to zero and attempt to solve:

Simplifying
2 + 9n3 = 0

Solving
2 + 9n3 = 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 + 9n3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9n3 = 0 + -2
9n3 = 0 + -2

Combine like terms: 0 + -2 = -2
9n3 = -2

Divide each side by '9'.
n3 = -0.2222222222

Simplifying
n3 = -0.2222222222

The solution to this equation could not be determined.

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