25r^3-20r+0=0

Solution for 25r^3-20r+0=0 equation:

Simplifying
25r3 + -20r + 0 = 0

Reorder the terms:
0 + -20r + 25r3 = 0
Remove the zero:
-20r + 25r3 = 0

Solving
-20r + 25r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '5r'.
5r(-4 + 5r2) = 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 '(-4 + 5r2)' equal to zero and attempt to solve:

Simplifying
-4 + 5r2 = 0

Solving
-4 + 5r2 = 0

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

Add '4' to each side of the equation.
-4 + 4 + 5r2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5r2 = 0 + 4
5r2 = 0 + 4

Combine like terms: 0 + 4 = 4
5r2 = 4

Divide each side by '5'.
r2 = 0.8

Simplifying
r2 = 0.8

Take the square root of each side:
r = {-0.894427191, 0.894427191}
Solution
r = {0, -0.894427191, 0.894427191}