3x^5-25x^3-18x=0

Solution for 3x^5-25x^3-18x=0 equation:

Simplifying
3x5 + -25x3 + -18x = 0

Reorder the terms:
-18x + -25x3 + 3x5 = 0

Solving
-18x + -25x3 + 3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-18 + -25x2 + 3x4) = 0

Factor a trinomial.
x((-2 + -3x2)(9 + -1x2)) = 0

Factor a difference between two squares.
x((-2 + -3x2)((3 + x)(3 + -1x))) = 0

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 '(-2 + -3x2)' equal to zero and attempt to solve:

Simplifying
-2 + -3x2 = 0

Solving
-2 + -3x2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x2 = 0 + 2
-3x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-3x2 = 2

Divide each side by '-3'.
x2 = -0.6666666667

Simplifying
x2 = -0.6666666667

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

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3
Subproblem 4
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0, -3, 3}