4x^5-33x^3=0

Solution for 4x^5-33x^3=0 equation:

Simplifying
4x5 + -33x3 = 0

Reorder the terms:
-33x3 + 4x5 = 0

Solving
-33x3 + 4x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-33 + 4x2) = 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 '(-33 + 4x2)' equal to zero and attempt to solve:

Simplifying
-33 + 4x2 = 0

Solving
-33 + 4x2 = 0

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

Add '33' to each side of the equation.
-33 + 33 + 4x2 = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 4x2 = 0 + 33
4x2 = 0 + 33

Combine like terms: 0 + 33 = 33
4x2 = 33

Divide each side by '4'.
x2 = 8.25

Simplifying
x2 = 8.25

Take the square root of each side:
x = {-2.872281323, 2.872281323}
Solution
x = {-2.872281323, 2.872281323}