32=-4(-2-8r)8(r+8)

Solution for 32=-4(-2-8r)8(r+8) equation:

Simplifying
32 = -4(-2 + -8r) * 8(r + 8)

Reorder the terms:
32 = -4(-2 + -8r) * 8(8 + r)

Reorder the terms for easier multiplication:
32 = -4 * 8(-2 + -8r)(8 + r)

Multiply -4 * 8
32 = -32(-2 + -8r)(8 + r)

Multiply (-2 + -8r) * (8 + r)
32 = -32(-2(8 + r) + -8r * (8 + r))
32 = -32((8 * -2 + r * -2) + -8r * (8 + r))
32 = -32((-16 + -2r) + -8r * (8 + r))
32 = -32(-16 + -2r + (8 * -8r + r * -8r))
32 = -32(-16 + -2r + (-64r + -8r2))

Combine like terms: -2r + -64r = -66r
32 = -32(-16 + -66r + -8r2)
32 = (-16 * -32 + -66r * -32 + -8r2 * -32)
32 = (512 + 2112r + 256r2)

Solving
32 = 512 + 2112r + 256r2

Solving for variable 'r'.

Combine like terms: 32 + -512 = -480
-480 + -2112r + -256r2 = 512 + 2112r + 256r2 + -512 + -2112r + -256r2

Reorder the terms:
-480 + -2112r + -256r2 = 512 + -512 + 2112r + -2112r + 256r2 + -256r2

Combine like terms: 512 + -512 = 0
-480 + -2112r + -256r2 = 0 + 2112r + -2112r + 256r2 + -256r2
-480 + -2112r + -256r2 = 2112r + -2112r + 256r2 + -256r2

Combine like terms: 2112r + -2112r = 0
-480 + -2112r + -256r2 = 0 + 256r2 + -256r2
-480 + -2112r + -256r2 = 256r2 + -256r2

Combine like terms: 256r2 + -256r2 = 0
-480 + -2112r + -256r2 = 0

Factor out the Greatest Common Factor (GCF), '-32'.
-32(15 + 66r + 8r2) = 0

Ignore the factor -32.
Subproblem 1
Set the factor '(15 + 66r + 8r2)' equal to zero and attempt to solve:

Simplifying
15 + 66r + 8r2 = 0

Solving
15 + 66r + 8r2 = 0

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

Divide each side by '8'.
1.875 + 8.25r + r2 = 0

Move the constant term to the right:

Add '-1.875' to each side of the equation.
1.875 + 8.25r + -1.875 + r2 = 0 + -1.875

Reorder the terms:
1.875 + -1.875 + 8.25r + r2 = 0 + -1.875

Combine like terms: 1.875 + -1.875 = 0.000
0.000 + 8.25r + r2 = 0 + -1.875
8.25r + r2 = 0 + -1.875

Combine like terms: 0 + -1.875 = -1.875
8.25r + r2 = -1.875

The r term is 8.25r.  Take half its coefficient (4.125).
Square it (17.015625) and add it to both sides.

Add '17.015625' to each side of the equation.
8.25r + 17.015625 + r2 = -1.875 + 17.015625

Reorder the terms:
17.015625 + 8.25r + r2 = -1.875 + 17.015625

Combine like terms: -1.875 + 17.015625 = 15.140625
17.015625 + 8.25r + r2 = 15.140625

Factor a perfect square on the left side:
(r + 4.125)(r + 4.125) = 15.140625

Calculate the square root of the right side: 3.891095604

Break this problem into two subproblems by setting 
(r + 4.125) equal to 3.891095604 and -3.891095604.

Subproblem 1
r + 4.125 = 3.891095604

Simplifying
r + 4.125 = 3.891095604

Reorder the terms:
4.125 + r = 3.891095604

Solving
4.125 + r = 3.891095604

Solving for variable 'r'.

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

Add '-4.125' to each side of the equation.
4.125 + -4.125 + r = 3.891095604 + -4.125

Combine like terms: 4.125 + -4.125 = 0.000
0.000 + r = 3.891095604 + -4.125
r = 3.891095604 + -4.125

Combine like terms: 3.891095604 + -4.125 = -0.233904396
r = -0.233904396

Simplifying
r = -0.233904396

Subproblem 2
r + 4.125 = -3.891095604

Simplifying
r + 4.125 = -3.891095604

Reorder the terms:
4.125 + r = -3.891095604

Solving
4.125 + r = -3.891095604

Solving for variable 'r'.

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

Add '-4.125' to each side of the equation.
4.125 + -4.125 + r = -3.891095604 + -4.125

Combine like terms: 4.125 + -4.125 = 0.000
0.000 + r = -3.891095604 + -4.125
r = -3.891095604 + -4.125

Combine like terms: -3.891095604 + -4.125 = -8.016095604
r = -8.016095604

Simplifying
r = -8.016095604

Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {-0.233904396, -8.016095604}
Solution
r = {-0.233904396, -8.016095604}