=(5n^6-1n-5n^4)+(5n^4+4n^6+3n)

Solution for =(5n^6-1n-5n^4)+(5n^4+4n^6+3n) equation:

Simplifying
0 = (5n6 + -1n + -5n4) + (5n4 + 4n6 + 3n)

Reorder the terms:
0 = (-1n + -5n4 + 5n6) + (5n4 + 4n6 + 3n)

Remove parenthesis around (-1n + -5n4 + 5n6)
0 = -1n + -5n4 + 5n6 + (5n4 + 4n6 + 3n)

Reorder the terms:
0 = -1n + -5n4 + 5n6 + (3n + 5n4 + 4n6)

Remove parenthesis around (3n + 5n4 + 4n6)
0 = -1n + -5n4 + 5n6 + 3n + 5n4 + 4n6

Reorder the terms:
0 = -1n + 3n + -5n4 + 5n4 + 5n6 + 4n6

Combine like terms: -1n + 3n = 2n
0 = 2n + -5n4 + 5n4 + 5n6 + 4n6

Combine like terms: -5n4 + 5n4 = 0
0 = 2n + 0 + 5n6 + 4n6
0 = 2n + 5n6 + 4n6

Combine like terms: 5n6 + 4n6 = 9n6
0 = 2n + 9n6

Solving
0 = 2n + 9n6

Solving for variable 'n'.
Remove the zero:
-2n + -9n6 = 2n + 9n6 + -2n + -9n6

Reorder the terms:
-2n + -9n6 = 2n + -2n + 9n6 + -9n6

Combine like terms: 2n + -2n = 0
-2n + -9n6 = 0 + 9n6 + -9n6
-2n + -9n6 = 9n6 + -9n6

Combine like terms: 9n6 + -9n6 = 0
-2n + -9n6 = 0

Factor out the Greatest Common Factor (GCF), '-1n'.
-1n(2 + 9n5) = 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 + 9n5)' equal to zero and attempt to solve:

Simplifying
2 + 9n5 = 0

Solving
2 + 9n5 = 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 + 9n5 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9n5 = 0 + -2
9n5 = 0 + -2

Combine like terms: 0 + -2 = -2
9n5 = -2

Divide each side by '9'.
n5 = -0.2222222222

Simplifying
n5 = -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}