3x^6+16x^3+5=0

Solution for 3x^6+16x^3+5=0 equation:

Simplifying
3x6 + 16x3 + 5 = 0

Reorder the terms:
5 + 16x3 + 3x6 = 0

Solving
5 + 16x3 + 3x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + x3)(1 + 3x3) = 0

Subproblem 1
Set the factor '(5 + x3)' equal to zero and attempt to solve:

Simplifying
5 + x3 = 0

Solving
5 + x3 = 0

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

Add '-5' to each side of the equation.
5 + -5 + x3 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x3 = 0 + -5
x3 = 0 + -5

Combine like terms: 0 + -5 = -5
x3 = -5

Simplifying
x3 = -5

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 '(1 + 3x3)' equal to zero and attempt to solve:

Simplifying
1 + 3x3 = 0

Solving
1 + 3x3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x3 = 0 + -1
3x3 = 0 + -1

Combine like terms: 0 + -1 = -1
3x3 = -1

Divide each side by '3'.
x3 = -0.3333333333

Simplifying
x3 = -0.3333333333

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.