3318.1008=2*33.24*r^2+2*3.13*r*36.5

Solution for 3318.1008=2*33.24*r^2+2*3.13*r*36.5 equation:

Simplifying
3318.1008 = 2 * 33.24r2 + 2 * 3.13r * 36.5

Multiply 2 * 33.24
3318.1008 = 66.48r2 + 2 * 3.13r * 36.5

Reorder the terms for easier multiplication:
3318.1008 = 66.48r2 + 2 * 3.13 * 36.5r

Multiply 2 * 3.13
3318.1008 = 66.48r2 + 6.26 * 36.5r

Multiply 6.26 * 36.5
3318.1008 = 66.48r2 + 228.49r

Reorder the terms:
3318.1008 = 228.49r + 66.48r2

Solving
3318.1008 = 228.49r + 66.48r2

Solving for variable 'r'.

Reorder the terms:
3318.1008 + -228.49r + -66.48r2 = 228.49r + -228.49r + 66.48r2 + -66.48r2

Combine like terms: 228.49r + -228.49r = 0.00
3318.1008 + -228.49r + -66.48r2 = 0.00 + 66.48r2 + -66.48r2
3318.1008 + -228.49r + -66.48r2 = 66.48r2 + -66.48r2

Combine like terms: 66.48r2 + -66.48r2 = 0.00
3318.1008 + -228.49r + -66.48r2 = 0.00

Begin completing the square.  Divide all terms by
-66.48 the coefficient of the squared term: 

Divide each side by '-66.48'.
-49.91126354 + 3.436973526r + r2 = 0

Move the constant term to the right:

Add '49.91126354' to each side of the equation.
-49.91126354 + 3.436973526r + 49.91126354 + r2 = 0 + 49.91126354

Reorder the terms:
-49.91126354 + 49.91126354 + 3.436973526r + r2 = 0 + 49.91126354

Combine like terms: -49.91126354 + 49.91126354 = 0.00000000
0.00000000 + 3.436973526r + r2 = 0 + 49.91126354
3.436973526r + r2 = 0 + 49.91126354

Combine like terms: 0 + 49.91126354 = 49.91126354
3.436973526r + r2 = 49.91126354

The r term is 3.436973526r.  Take half its coefficient (1.718486763).
Square it (2.953196755) and add it to both sides.

Add '2.953196755' to each side of the equation.
3.436973526r + 2.953196755 + r2 = 49.91126354 + 2.953196755

Reorder the terms:
2.953196755 + 3.436973526r + r2 = 49.91126354 + 2.953196755

Combine like terms: 49.91126354 + 2.953196755 = 52.864460295
2.953196755 + 3.436973526r + r2 = 52.864460295

Factor a perfect square on the left side:
(r + 1.718486763)(r + 1.718486763) = 52.864460295

Calculate the square root of the right side: 7.270795025

Break this problem into two subproblems by setting 
(r + 1.718486763) equal to 7.270795025 and -7.270795025.

Subproblem 1
r + 1.718486763 = 7.270795025

Simplifying
r + 1.718486763 = 7.270795025

Reorder the terms:
1.718486763 + r = 7.270795025

Solving
1.718486763 + r = 7.270795025

Solving for variable 'r'.

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

Add '-1.718486763' to each side of the equation.
1.718486763 + -1.718486763 + r = 7.270795025 + -1.718486763

Combine like terms: 1.718486763 + -1.718486763 = 0.000000000
0.000000000 + r = 7.270795025 + -1.718486763
r = 7.270795025 + -1.718486763

Combine like terms: 7.270795025 + -1.718486763 = 5.552308262
r = 5.552308262

Simplifying
r = 5.552308262

Subproblem 2
r + 1.718486763 = -7.270795025

Simplifying
r + 1.718486763 = -7.270795025

Reorder the terms:
1.718486763 + r = -7.270795025

Solving
1.718486763 + r = -7.270795025

Solving for variable 'r'.

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

Add '-1.718486763' to each side of the equation.
1.718486763 + -1.718486763 + r = -7.270795025 + -1.718486763

Combine like terms: 1.718486763 + -1.718486763 = 0.000000000
0.000000000 + r = -7.270795025 + -1.718486763
r = -7.270795025 + -1.718486763

Combine like terms: -7.270795025 + -1.718486763 = -8.989281788
r = -8.989281788

Simplifying
r = -8.989281788

Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {5.552308262, -8.989281788}