36rs^2-108r^2s^3=0

Solution for 36rs^2-108r^2s^3=0 equation:

Simplifying
36rs2 + -108r2s3 = 0

Solving
36rs2 + -108r2s3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '36rs2'.
36rs2(1 + -3rs) = 0

Ignore the factor 36.
Subproblem 1
Set the factor 'rs2' equal to zero and attempt to solve:

Simplifying
rs2 = 0

Solving
rs2 = 0

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

Simplifying
rs2 = 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 '(1 + -3rs)' equal to zero and attempt to solve:

Simplifying
1 + -3rs = 0

Solving
1 + -3rs = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3rs = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3rs = 0 + -1
-3rs = 0 + -1

Combine like terms: 0 + -1 = -1
-3rs = -1

Divide each side by '-3s'.
r = 0.3333333333s-1

Simplifying
r = 0.3333333333s-1
Solution
r = {0.3333333333s-1}