6r(11r+5)=0

Solution for 6r(11r+5)=0 equation:

Simplifying
6r(11r + 5) = 0

Reorder the terms:
6r(5 + 11r) = 0
(5 * 6r + 11r * 6r) = 0
(30r + 66r2) = 0

Solving
30r + 66r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '6r'.
6r(5 + 11r) = 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 '(5 + 11r)' equal to zero and attempt to solve:

Simplifying
5 + 11r = 0

Solving
5 + 11r = 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 + 11r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 11r = 0 + -5
11r = 0 + -5

Combine like terms: 0 + -5 = -5
11r = -5

Divide each side by '11'.
r = -0.4545454545

Simplifying
r = -0.4545454545
Solution
r = {0, -0.4545454545}