3r^3+3r^3-36r=0

Solution for 3r^3+3r^3-36r=0 equation:

Simplifying
3r3 + 3r3 + -36r = 0

Reorder the terms:
-36r + 3r3 + 3r3 = 0

Combine like terms: 3r3 + 3r3 = 6r3
-36r + 6r3 = 0

Solving
-36r + 6r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '6r'.
6r(-6 + r2) = 0

Ignore the factor 6.
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 '(-6 + r2)' equal to zero and attempt to solve:

Simplifying
-6 + r2 = 0

Solving
-6 + r2 = 0

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

Add '6' to each side of the equation.
-6 + 6 + r2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + r2 = 0 + 6
r2 = 0 + 6

Combine like terms: 0 + 6 = 6
r2 = 6

Simplifying
r2 = 6

Take the square root of each side:
r = {-2.449489743, 2.449489743}
Solution
r = {0, -2.449489743, 2.449489743}