r^2+2r+1-1.44=

Solution for r^2+2r+1-1.44= equation:

Simplifying
r2 + 2r + 1 + -1.44 = 0

Reorder the terms:
1 + -1.44 + 2r + r2 = 0

Combine like terms: 1 + -1.44 = -0.44
-0.44 + 2r + r2 = 0

Solving
-0.44 + 2r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '0.44' to each side of the equation.
-0.44 + 2r + 0.44 + r2 = 0 + 0.44

Reorder the terms:
-0.44 + 0.44 + 2r + r2 = 0 + 0.44

Combine like terms: -0.44 + 0.44 = 0.00
0.00 + 2r + r2 = 0 + 0.44
2r + r2 = 0 + 0.44

Combine like terms: 0 + 0.44 = 0.44
2r + r2 = 0.44

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 = 0.44 + 1

Reorder the terms:
1 + 2r + r2 = 0.44 + 1

Combine like terms: 0.44 + 1 = 1.44
1 + 2r + r2 = 1.44

Factor a perfect square on the left side:
(r + 1)(r + 1) = 1.44

Calculate the square root of the right side: 1.2

Break this problem into two subproblems by setting 
(r + 1) equal to 1.2 and -1.2.

Subproblem 1
r + 1 = 1.2

Simplifying
r + 1 = 1.2

Reorder the terms:
1 + r = 1.2

Solving
1 + r = 1.2

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 = 1.2 + -1

Combine like terms: 1 + -1 = 0
0 + r = 1.2 + -1
r = 1.2 + -1

Combine like terms: 1.2 + -1 = 0.2
r = 0.2

Simplifying
r = 0.2

Subproblem 2
r + 1 = -1.2

Simplifying
r + 1 = -1.2

Reorder the terms:
1 + r = -1.2

Solving
1 + r = -1.2

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 = -1.2 + -1

Combine like terms: 1 + -1 = 0
0 + r = -1.2 + -1
r = -1.2 + -1

Combine like terms: -1.2 + -1 = -2.2
r = -2.2

Simplifying
r = -2.2

Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {0.2, -2.2}