3n^5+2n^3=-7n^4

Solution for 3n^5+2n^3=-7n^4 equation:

Simplifying
3n5 + 2n3 = -7n4

Reorder the terms:
2n3 + 3n5 = -7n4

Solving
2n3 + 3n5 = -7n4

Solving for variable 'n'.

Reorder the terms:
2n3 + 7n4 + 3n5 = -7n4 + 7n4

Combine like terms: -7n4 + 7n4 = 0
2n3 + 7n4 + 3n5 = 0

Factor out the Greatest Common Factor (GCF), 'n3'.
n3(2 + 7n + 3n2) = 0

Factor a trinomial.
n3((2 + n)(1 + 3n)) = 0

Subproblem 1
Set the factor 'n3' equal to zero and attempt to solve:

Simplifying
n3 = 0

Solving
n3 = 0

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

Simplifying
n3 = 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 '(2 + n)' equal to zero and attempt to solve:

Simplifying
2 + n = 0

Solving
2 + n = 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 + n = 0 + -2

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

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

Simplifying
n = -2
Subproblem 3
Set the factor '(1 + 3n)' equal to zero and attempt to solve:

Simplifying
1 + 3n = 0

Solving
1 + 3n = 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 + 3n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3n = 0 + -1
3n = 0 + -1

Combine like terms: 0 + -1 = -1
3n = -1

Divide each side by '3'.
n = -0.3333333333

Simplifying
n = -0.3333333333
Solution
n = {-2, -0.3333333333}