162=r+r^2

Solution for 162=r+r^2 equation:

Simplifying
162 = r + r2

Solving
162 = r + r2

Solving for variable 'r'.

Reorder the terms:
162 + -1r + -1r2 = r + -1r + r2 + -1r2

Combine like terms: r + -1r = 0
162 + -1r + -1r2 = 0 + r2 + -1r2
162 + -1r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
162 + -1r + -1r2 = 0

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

Divide each side by '-1'.
-162 + r + r2 = 0

Move the constant term to the right:

Add '162' to each side of the equation.
-162 + r + 162 + r2 = 0 + 162

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

Combine like terms: -162 + 162 = 0
0 + r + r2 = 0 + 162
r + r2 = 0 + 162

Combine like terms: 0 + 162 = 162
r + r2 = 162

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

Add '0.25' to each side of the equation.
 + 0.25 + r2 = 162 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + r2 = 162 + 0.25

Combine like terms: 162 + 0.25 = 162.25
1.25 + r2 = 162.25

Factor a perfect square on the left side:
(r + 0.5)(r + 0.5) = 162.25

Calculate the square root of the right side: 12.737739203

Break this problem into two subproblems by setting 
(r + 0.5) equal to 12.737739203 and -12.737739203.

Subproblem 1
r + 0.5 = 12.737739203

Simplifying
r + 0.5 = 12.737739203

Reorder the terms:
0.5 + r = 12.737739203

Solving
0.5 + r = 12.737739203

Solving for variable 'r'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + r = 12.737739203 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + r = 12.737739203 + -0.5
r = 12.737739203 + -0.5

Combine like terms: 12.737739203 + -0.5 = 12.237739203
r = 12.237739203

Simplifying
r = 12.237739203

Subproblem 2
r + 0.5 = -12.737739203

Simplifying
r + 0.5 = -12.737739203

Reorder the terms:
0.5 + r = -12.737739203

Solving
0.5 + r = -12.737739203

Solving for variable 'r'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + r = -12.737739203 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + r = -12.737739203 + -0.5
r = -12.737739203 + -0.5

Combine like terms: -12.737739203 + -0.5 = -13.237739203
r = -13.237739203

Simplifying
r = -13.237739203

Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {12.237739203, -13.237739203}