5x^5-22x^3-48x=0

Solution for 5x^5-22x^3-48x=0 equation:

Simplifying
5x5 + -22x3 + -48x = 0

Reorder the terms:
-48x + -22x3 + 5x5 = 0

Solving
-48x + -22x3 + 5x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-48 + -22x2 + 5x4) = 0

Factor a trinomial.
x((-8 + -5x2)(6 + -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 '(-8 + -5x2)' equal to zero and attempt to solve:

Simplifying
-8 + -5x2 = 0

Solving
-8 + -5x2 = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x2 = 0 + 8
-5x2 = 0 + 8

Combine like terms: 0 + 8 = 8
-5x2 = 8

Divide each side by '-5'.
x2 = -1.6

Simplifying
x2 = -1.6

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 '(6 + -1x2)' equal to zero and attempt to solve:

Simplifying
6 + -1x2 = 0

Solving
6 + -1x2 = 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 + -1x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x2 = 0 + -6
-1x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1x2 = -6

Divide each side by '-1'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}
Solution
x = {0, -2.449489743, 2.449489743}