18x^5+69x^3+45x=0

Solution for 18x^5+69x^3+45x=0 equation:

Simplifying
18x5 + 69x3 + 45x = 0

Reorder the terms:
45x + 69x3 + 18x5 = 0

Solving
45x + 69x3 + 18x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(15 + 23x2 + 6x4) = 0

Factor a trinomial.
3x((3 + x2)(5 + 6x2)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(3 + x2)' equal to zero and attempt to solve:

Simplifying
3 + x2 = 0

Solving
3 + x2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x2 = 0 + -3
x2 = 0 + -3

Combine like terms: 0 + -3 = -3
x2 = -3

Simplifying
x2 = -3

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 '(5 + 6x2)' equal to zero and attempt to solve:

Simplifying
5 + 6x2 = 0

Solving
5 + 6x2 = 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 + 6x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6x2 = 0 + -5
6x2 = 0 + -5

Combine like terms: 0 + -5 = -5
6x2 = -5

Divide each side by '6'.
x2 = -0.8333333333

Simplifying
x2 = -0.8333333333

The solution to this equation could not be determined.

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