-2(8r+2)-5(1-2r)=-r*3*4r

Solution for -2(8r+2)-5(1-2r)=-r*3*4r equation:

Simplifying
-2(8r + 2) + -5(1 + -2r) = -1r * 3 * 4r

Reorder the terms:
-2(2 + 8r) + -5(1 + -2r) = -1r * 3 * 4r
(2 * -2 + 8r * -2) + -5(1 + -2r) = -1r * 3 * 4r
(-4 + -16r) + -5(1 + -2r) = -1r * 3 * 4r
-4 + -16r + (1 * -5 + -2r * -5) = -1r * 3 * 4r
-4 + -16r + (-5 + 10r) = -1r * 3 * 4r

Reorder the terms:
-4 + -5 + -16r + 10r = -1r * 3 * 4r

Combine like terms: -4 + -5 = -9
-9 + -16r + 10r = -1r * 3 * 4r

Combine like terms: -16r + 10r = -6r
-9 + -6r = -1r * 3 * 4r

Reorder the terms for easier multiplication:
-9 + -6r = -1 * 3 * 4r * r

Multiply -1 * 3
-9 + -6r = -3 * 4r * r

Multiply -3 * 4
-9 + -6r = -12r * r

Multiply r * r
-9 + -6r = -12r2

Solving
-9 + -6r = -12r2

Solving for variable 'r'.

Combine like terms: -12r2 + 12r2 = 0
-9 + -6r + 12r2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + -2r + 4r2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-3 + -2r + 4r2)' equal to zero and attempt to solve:

Simplifying
-3 + -2r + 4r2 = 0

Solving
-3 + -2r + 4r2 = 0

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

Divide each side by '4'.
-0.75 + -0.5r + r2 = 0

Move the constant term to the right:

Add '0.75' to each side of the equation.
-0.75 + -0.5r + 0.75 + r2 = 0 + 0.75

Reorder the terms:
-0.75 + 0.75 + -0.5r + r2 = 0 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + -0.5r + r2 = 0 + 0.75
-0.5r + r2 = 0 + 0.75

Combine like terms: 0 + 0.75 = 0.75
-0.5r + r2 = 0.75

The r term is -0.5r.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5r + 0.0625 + r2 = 0.75 + 0.0625

Reorder the terms:
0.0625 + -0.5r + r2 = 0.75 + 0.0625

Combine like terms: 0.75 + 0.0625 = 0.8125
0.0625 + -0.5r + r2 = 0.8125

Factor a perfect square on the left side:
(r + -0.25)(r + -0.25) = 0.8125

Calculate the square root of the right side: 0.901387819

Break this problem into two subproblems by setting 
(r + -0.25) equal to 0.901387819 and -0.901387819.

Subproblem 1
r + -0.25 = 0.901387819

Simplifying
r + -0.25 = 0.901387819

Reorder the terms:
-0.25 + r = 0.901387819

Solving
-0.25 + r = 0.901387819

Solving for variable 'r'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + r = 0.901387819 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + r = 0.901387819 + 0.25
r = 0.901387819 + 0.25

Combine like terms: 0.901387819 + 0.25 = 1.151387819
r = 1.151387819

Simplifying
r = 1.151387819

Subproblem 2
r + -0.25 = -0.901387819

Simplifying
r + -0.25 = -0.901387819

Reorder the terms:
-0.25 + r = -0.901387819

Solving
-0.25 + r = -0.901387819

Solving for variable 'r'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + r = -0.901387819 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + r = -0.901387819 + 0.25
r = -0.901387819 + 0.25

Combine like terms: -0.901387819 + 0.25 = -0.651387819
r = -0.651387819

Simplifying
r = -0.651387819

Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {1.151387819, -0.651387819}
Solution
r = {1.151387819, -0.651387819}