4q^5-25q^3=0

Solution for 4q^5-25q^3=0 equation:

Simplifying
4q5 + -25q3 = 0

Reorder the terms:
-25q3 + 4q5 = 0

Solving
-25q3 + 4q5 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q3'.
q3(-25 + 4q2) = 0

Factor a difference between two squares.
q3((5 + 2q)(-5 + 2q)) = 0

Subproblem 1
Set the factor 'q3' equal to zero and attempt to solve:

Simplifying
q3 = 0

Solving
q3 = 0

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

Simplifying
q3 = 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 '(5 + 2q)' equal to zero and attempt to solve:

Simplifying
5 + 2q = 0

Solving
5 + 2q = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2q = 0 + -5
2q = 0 + -5

Combine like terms: 0 + -5 = -5
2q = -5

Divide each side by '2'.
q = -2.5

Simplifying
q = -2.5
Subproblem 3
Set the factor '(-5 + 2q)' equal to zero and attempt to solve:

Simplifying
-5 + 2q = 0

Solving
-5 + 2q = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2q = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2q = 0 + 5
2q = 0 + 5

Combine like terms: 0 + 5 = 5
2q = 5

Divide each side by '2'.
q = 2.5

Simplifying
q = 2.5
Solution
q = {-2.5, 2.5}