16=r(r-6)

Solution for 16=r(r-6) equation:

Simplifying
16 = r(r + -6)

Reorder the terms:
16 = r(-6 + r)
16 = (-6 * r + r * r)
16 = (-6r + r2)

Solving
16 = -6r + r2

Solving for variable 'r'.

Reorder the terms:
16 + 6r + -1r2 = -6r + 6r + r2 + -1r2

Combine like terms: -6r + 6r = 0
16 + 6r + -1r2 = 0 + r2 + -1r2
16 + 6r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
16 + 6r + -1r2 = 0

Factor a trinomial.
(8 + -1r)(2 + r) = 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 '(2 + r)' equal to zero and attempt to solve:

Simplifying
2 + r = 0

Solving
2 + r = 0

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

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

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

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

Simplifying
r = -2
Solution
r = {8, -2}