r^2-2r+36=0

Solution for r^2-2r+36=0 equation:

Simplifying
r2 + -2r + 36 = 0

Reorder the terms:
36 + -2r + r2 = 0

Solving
36 + -2r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -2r + -36 + r2 = 0 + -36

Reorder the terms:
36 + -36 + -2r + r2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -2r + r2 = 0 + -36
-2r + r2 = 0 + -36

Combine like terms: 0 + -36 = -36
-2r + r2 = -36

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 = -36 + 1

Reorder the terms:
1 + -2r + r2 = -36 + 1

Combine like terms: -36 + 1 = -35
1 + -2r + r2 = -35

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.