x^5-0.16x^3=0

Solution for x^5-0.16x^3=0 equation:

Simplifying
x5 + -0.16x3 = 0

Reorder the terms:
-0.16x3 + x5 = 0

Solving
-0.16x3 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-0.16 + x2) = 0

Factor a difference between two squares.
x3((0.4 + x)(-0.4 + x)) = 0

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

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

Simplifying
0.4 + x = 0

Solving
0.4 + x = 0

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + x = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + x = 0 + -0.4
x = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
x = -0.4

Simplifying
x = -0.4
Subproblem 3
Set the factor '(-0.4 + x)' equal to zero and attempt to solve:

Simplifying
-0.4 + x = 0

Solving
-0.4 + x = 0

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

Add '0.4' to each side of the equation.
-0.4 + 0.4 + x = 0 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + x = 0 + 0.4
x = 0 + 0.4

Combine like terms: 0 + 0.4 = 0.4
x = 0.4

Simplifying
x = 0.4
Solution
x = {-0.4, 0.4}