5r^3-25r=0

Solution for 5r^3-25r=0 equation:

Simplifying
5r3 + -25r = 0

Reorder the terms:
-25r + 5r3 = 0

Solving
-25r + 5r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '5r'.
5r(-5 + r2) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(-5 + r2)' equal to zero and attempt to solve:

Simplifying
-5 + r2 = 0

Solving
-5 + r2 = 0

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

Add '5' to each side of the equation.
-5 + 5 + r2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + r2 = 0 + 5
r2 = 0 + 5

Combine like terms: 0 + 5 = 5
r2 = 5

Simplifying
r2 = 5

Take the square root of each side:
r = {-2.236067978, 2.236067978}
Solution
r = {0, -2.236067978, 2.236067978}