.33*(6r+6)*(r+9)=

Solution for .33*(6r+6)*(r+9)= equation:

Simplifying
0.33(6r + 6)(r + 9) = 0

Reorder the terms:
0.33(6 + 6r)(r + 9) = 0

Reorder the terms:
0.33(6 + 6r)(9 + r) = 0

Multiply (6 + 6r) * (9 + r)
0.33(6(9 + r) + 6r * (9 + r)) = 0
0.33((9 * 6 + r * 6) + 6r * (9 + r)) = 0
0.33((54 + 6r) + 6r * (9 + r)) = 0
0.33(54 + 6r + (9 * 6r + r * 6r)) = 0
0.33(54 + 6r + (54r + 6r2)) = 0

Combine like terms: 6r + 54r = 60r
0.33(54 + 60r + 6r2) = 0
(54 * 0.33 + 60r * 0.33 + 6r2 * 0.33) = 0
(17.82 + 19.8r + 1.98r2) = 0

Solving
17.82 + 19.8r + 1.98r2 = 0

Solving for variable 'r'.

Begin completing the square.  Divide all terms by
1.98 the coefficient of the squared term: 

Divide each side by '1.98'.
9 + 10r + r2 = 0

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 10r + -9 + r2 = 0 + -9

Reorder the terms:
9 + -9 + 10r + r2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 10r + r2 = 0 + -9
10r + r2 = 0 + -9

Combine like terms: 0 + -9 = -9
10r + r2 = -9

The r term is 10r.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10r + 25 + r2 = -9 + 25

Reorder the terms:
25 + 10r + r2 = -9 + 25

Combine like terms: -9 + 25 = 16
25 + 10r + r2 = 16

Factor a perfect square on the left side:
(r + 5)(r + 5) = 16

Calculate the square root of the right side: 4

Break this problem into two subproblems by setting 
(r + 5) equal to 4 and -4.

Subproblem 1
r + 5 = 4

Simplifying
r + 5 = 4

Reorder the terms:
5 + r = 4

Solving
5 + r = 4

Solving for variable 'r'.

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

Add '-5' to each side of the equation.
5 + -5 + r = 4 + -5

Combine like terms: 5 + -5 = 0
0 + r = 4 + -5
r = 4 + -5

Combine like terms: 4 + -5 = -1
r = -1

Simplifying
r = -1

Subproblem 2
r + 5 = -4

Simplifying
r + 5 = -4

Reorder the terms:
5 + r = -4

Solving
5 + r = -4

Solving for variable 'r'.

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

Add '-5' to each side of the equation.
5 + -5 + r = -4 + -5

Combine like terms: 5 + -5 = 0
0 + r = -4 + -5
r = -4 + -5

Combine like terms: -4 + -5 = -9
r = -9

Simplifying
r = -9

Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {-1, -9}