5r(11r+6)=0

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

Simplifying
5r(11r + 6) = 0

Reorder the terms:
5r(6 + 11r) = 0
(6 * 5r + 11r * 5r) = 0
(30r + 55r2) = 0

Solving
30r + 55r2 = 0

Solving for variable 'r'.

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

Simplifying
6 + 11r = 0

Solving
6 + 11r = 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 + 11r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 11r = 0 + -6
11r = 0 + -6

Combine like terms: 0 + -6 = -6
11r = -6

Divide each side by '11'.
r = -0.5454545455

Simplifying
r = -0.5454545455
Solution
r = {0, -0.5454545455}