0=128*1+2r+r^2-162

Solution for 0=128*1+2r+r^2-162 equation:

Simplifying
0 = 128 * 1 + 2r + r2 + -162

Multiply 128 * 1
0 = 128 + 2r + r2 + -162

Reorder the terms:
0 = 128 + -162 + 2r + r2

Combine like terms: 128 + -162 = -34
0 = -34 + 2r + r2

Solving
0 = -34 + 2r + r2

Solving for variable 'r'.

Combine like terms: 0 + 34 = 34
34 + -2r + -1r2 = -34 + 2r + r2 + 34 + -2r + -1r2

Reorder the terms:
34 + -2r + -1r2 = -34 + 34 + 2r + -2r + r2 + -1r2

Combine like terms: -34 + 34 = 0
34 + -2r + -1r2 = 0 + 2r + -2r + r2 + -1r2
34 + -2r + -1r2 = 2r + -2r + r2 + -1r2

Combine like terms: 2r + -2r = 0
34 + -2r + -1r2 = 0 + r2 + -1r2
34 + -2r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
34 + -2r + -1r2 = 0

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

Divide each side by '-1'.
-34 + 2r + r2 = 0

Move the constant term to the right:

Add '34' to each side of the equation.
-34 + 2r + 34 + r2 = 0 + 34

Reorder the terms:
-34 + 34 + 2r + r2 = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 2r + r2 = 0 + 34
2r + r2 = 0 + 34

Combine like terms: 0 + 34 = 34
2r + r2 = 34

The r term is 2r.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2r + 1 + r2 = 34 + 1

Reorder the terms:
1 + 2r + r2 = 34 + 1

Combine like terms: 34 + 1 = 35
1 + 2r + r2 = 35

Factor a perfect square on the left side:
(r + 1)(r + 1) = 35

Calculate the square root of the right side: 5.916079783

Break this problem into two subproblems by setting 
(r + 1) equal to 5.916079783 and -5.916079783.

Subproblem 1
r + 1 = 5.916079783

Simplifying
r + 1 = 5.916079783

Reorder the terms:
1 + r = 5.916079783

Solving
1 + r = 5.916079783

Solving for variable 'r'.

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

Add '-1' to each side of the equation.
1 + -1 + r = 5.916079783 + -1

Combine like terms: 1 + -1 = 0
0 + r = 5.916079783 + -1
r = 5.916079783 + -1

Combine like terms: 5.916079783 + -1 = 4.916079783
r = 4.916079783

Simplifying
r = 4.916079783

Subproblem 2
r + 1 = -5.916079783

Simplifying
r + 1 = -5.916079783

Reorder the terms:
1 + r = -5.916079783

Solving
1 + r = -5.916079783

Solving for variable 'r'.

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

Add '-1' to each side of the equation.
1 + -1 + r = -5.916079783 + -1

Combine like terms: 1 + -1 = 0
0 + r = -5.916079783 + -1
r = -5.916079783 + -1

Combine like terms: -5.916079783 + -1 = -6.916079783
r = -6.916079783

Simplifying
r = -6.916079783

Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {4.916079783, -6.916079783}