r^2-16r+69=0

Solution for r^2-16r+69=0 equation:

Simplifying
r2 + -16r + 69 = 0

Reorder the terms:
69 + -16r + r2 = 0

Solving
69 + -16r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-69' to each side of the equation.
69 + -16r + -69 + r2 = 0 + -69

Reorder the terms:
69 + -69 + -16r + r2 = 0 + -69

Combine like terms: 69 + -69 = 0
0 + -16r + r2 = 0 + -69
-16r + r2 = 0 + -69

Combine like terms: 0 + -69 = -69
-16r + r2 = -69

The r term is -16r.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16r + 64 + r2 = -69 + 64

Reorder the terms:
64 + -16r + r2 = -69 + 64

Combine like terms: -69 + 64 = -5
64 + -16r + r2 = -5

Factor a perfect square on the left side:
(r + -8)(r + -8) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.