r^2-2r+16=0

Solution for r^2-2r+16=0 equation:

Simplifying
r2 + -2r + 16 = 0

Reorder the terms:
16 + -2r + r2 = 0

Solving
16 + -2r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -2r + -16 + r2 = 0 + -16

Reorder the terms:
16 + -16 + -2r + r2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -2r + r2 = 0 + -16
-2r + r2 = 0 + -16

Combine like terms: 0 + -16 = -16
-2r + r2 = -16

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 = -16 + 1

Reorder the terms:
1 + -2r + r2 = -16 + 1

Combine like terms: -16 + 1 = -15
1 + -2r + r2 = -15

Factor a perfect square on the left side:
(r + -1)(r + -1) = -15

Can't calculate square root of the right side.

The solution to this equation could not be determined.