100x^5-9x^3=0

Solution for 100x^5-9x^3=0 equation:

Simplifying
100x5 + -9x3 = 0

Reorder the terms:
-9x3 + 100x5 = 0

Solving
-9x3 + 100x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-9 + 100x2) = 0

Factor a difference between two squares.
x3((3 + 10x)(-3 + 10x)) = 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 '(3 + 10x)' equal to zero and attempt to solve:

Simplifying
3 + 10x = 0

Solving
3 + 10x = 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 + 10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = 0 + -3
10x = 0 + -3

Combine like terms: 0 + -3 = -3
10x = -3

Divide each side by '10'.
x = -0.3

Simplifying
x = -0.3
Subproblem 3
Set the factor '(-3 + 10x)' equal to zero and attempt to solve:

Simplifying
-3 + 10x = 0

Solving
-3 + 10x = 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 + 10x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 0 + 3
10x = 0 + 3

Combine like terms: 0 + 3 = 3
10x = 3

Divide each side by '10'.
x = 0.3

Simplifying
x = 0.3
Solution
x = {-0.3, 0.3}