r(r-16)=-64

Solution for r(r-16)=-64 equation:

Simplifying
r(r + -16) = -64

Reorder the terms:
r(-16 + r) = -64
(-16 * r + r * r) = -64
(-16r + r2) = -64

Solving
-16r + r2 = -64

Solving for variable 'r'.

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

Combine like terms: -64 + 64 = 0
64 + -16r + r2 = 0

Factor a trinomial.
(8 + -1r)(8 + -1r) = 0

Subproblem 1
Set the factor '(8 + -1r)' equal to zero and attempt to solve:

Simplifying
8 + -1r = 0

Solving
8 + -1r = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 0 + -8
-1r = 0 + -8

Combine like terms: 0 + -8 = -8
-1r = -8

Divide each side by '-1'.
r = 8

Simplifying
r = 8
Subproblem 2
Set the factor '(8 + -1r)' equal to zero and attempt to solve:

Simplifying
8 + -1r = 0

Solving
8 + -1r = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 0 + -8
-1r = 0 + -8

Combine like terms: 0 + -8 = -8
-1r = -8

Divide each side by '-1'.
r = 8

Simplifying
r = 8
Solution
r = {8, 8}