32=(r+18.5)(r)

Solution for 32=(r+18.5)(r) equation:

Simplifying
32 = (r + 18.5)(r)

Reorder the terms:
32 = (18.5 + r)(r)

Reorder the terms for easier multiplication:
32 = r(18.5 + r)
32 = (18.5 * r + r * r)
32 = (18.5r + r2)

Solving
32 = 18.5r + r2

Solving for variable 'r'.

Reorder the terms:
32 + -18.5r + -1r2 = 18.5r + -18.5r + r2 + -1r2

Combine like terms: 18.5r + -18.5r = 0.0
32 + -18.5r + -1r2 = 0.0 + r2 + -1r2
32 + -18.5r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
32 + -18.5r + -1r2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-32 + 18.5r + r2 = 0

Move the constant term to the right:

Add '32' to each side of the equation.
-32 + 18.5r + 32 + r2 = 0 + 32

Reorder the terms:
-32 + 32 + 18.5r + r2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 18.5r + r2 = 0 + 32
18.5r + r2 = 0 + 32

Combine like terms: 0 + 32 = 32
18.5r + r2 = 32

The r term is 18.5r.  Take half its coefficient (9.25).
Square it (85.5625) and add it to both sides.

Add '85.5625' to each side of the equation.
18.5r + 85.5625 + r2 = 32 + 85.5625

Reorder the terms:
85.5625 + 18.5r + r2 = 32 + 85.5625

Combine like terms: 32 + 85.5625 = 117.5625
85.5625 + 18.5r + r2 = 117.5625

Factor a perfect square on the left side:
(r + 9.25)(r + 9.25) = 117.5625

Calculate the square root of the right side: 10.842624221

Break this problem into two subproblems by setting 
(r + 9.25) equal to 10.842624221 and -10.842624221.

Subproblem 1
r + 9.25 = 10.842624221

Simplifying
r + 9.25 = 10.842624221

Reorder the terms:
9.25 + r = 10.842624221

Solving
9.25 + r = 10.842624221

Solving for variable 'r'.

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

Add '-9.25' to each side of the equation.
9.25 + -9.25 + r = 10.842624221 + -9.25

Combine like terms: 9.25 + -9.25 = 0.00
0.00 + r = 10.842624221 + -9.25
r = 10.842624221 + -9.25

Combine like terms: 10.842624221 + -9.25 = 1.592624221
r = 1.592624221

Simplifying
r = 1.592624221

Subproblem 2
r + 9.25 = -10.842624221

Simplifying
r + 9.25 = -10.842624221

Reorder the terms:
9.25 + r = -10.842624221

Solving
9.25 + r = -10.842624221

Solving for variable 'r'.

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

Add '-9.25' to each side of the equation.
9.25 + -9.25 + r = -10.842624221 + -9.25

Combine like terms: 9.25 + -9.25 = 0.00
0.00 + r = -10.842624221 + -9.25
r = -10.842624221 + -9.25

Combine like terms: -10.842624221 + -9.25 = -20.092624221
r = -20.092624221

Simplifying
r = -20.092624221

Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {1.592624221, -20.092624221}