3u^5+25u^3+8u=0

Solution for 3u^5+25u^3+8u=0 equation:

Simplifying
3u5 + 25u3 + 8u = 0

Reorder the terms:
8u + 25u3 + 3u5 = 0

Solving
8u + 25u3 + 3u5 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(8 + 25u2 + 3u4) = 0

Factor a trinomial.
u((8 + u2)(1 + 3u2)) = 0

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

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0
Subproblem 2
Set the factor '(8 + u2)' equal to zero and attempt to solve:

Simplifying
8 + u2 = 0

Solving
8 + u2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + u2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + u2 = 0 + -8
u2 = 0 + -8

Combine like terms: 0 + -8 = -8
u2 = -8

Simplifying
u2 = -8

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(1 + 3u2)' equal to zero and attempt to solve:

Simplifying
1 + 3u2 = 0

Solving
1 + 3u2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3u2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3u2 = 0 + -1
3u2 = 0 + -1

Combine like terms: 0 + -1 = -1
3u2 = -1

Divide each side by '3'.
u2 = -0.3333333333

Simplifying
u2 = -0.3333333333

The solution to this equation could not be determined.

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