5x^5-19x^3-30x=

Solution for 5x^5-19x^3-30x= equation:

Simplifying
5x5 + -19x3 + -30x = 0

Reorder the terms:
-30x + -19x3 + 5x5 = 0

Solving
-30x + -19x3 + 5x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30 + -19x2 + 5x4) = 0

Factor a trinomial.
x((-6 + -5x2)(5 + -1x2)) = 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 '(-6 + -5x2)' equal to zero and attempt to solve:

Simplifying
-6 + -5x2 = 0

Solving
-6 + -5x2 = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5x2 = 0 + 6

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

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

Divide each side by '-5'.
x2 = -1.2

Simplifying
x2 = -1.2

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 + -1x2)' equal to zero and attempt to solve:

Simplifying
5 + -1x2 = 0

Solving
5 + -1x2 = 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 + -1x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x2 = 0 + -5
-1x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x2 = -5

Divide each side by '-1'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}
Solution
x = {0, -2.236067978, 2.236067978}