9r(3r+9)=

Solution for 9r(3r+9)= equation:

Simplifying
9r(3r + 9) = 0

Reorder the terms:
9r(9 + 3r) = 0
(9 * 9r + 3r * 9r) = 0
(81r + 27r2) = 0

Solving
81r + 27r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '27r'.
27r(3 + r) = 0

Ignore the factor 27.
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 '(3 + r)' equal to zero and attempt to solve:

Simplifying
3 + r = 0

Solving
3 + r = 0

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

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

Combine like terms: 3 + -3 = 0
0 + r = 0 + -3
r = 0 + -3

Combine like terms: 0 + -3 = -3
r = -3

Simplifying
r = -3
Solution
r = {0, -3}