(2r-11)(r-6)=

Solution for (2r-11)(r-6)= equation:

Simplifying
(2r + -11)(r + -6) = 0

Reorder the terms:
(-11 + 2r)(r + -6) = 0

Reorder the terms:
(-11 + 2r)(-6 + r) = 0

Multiply (-11 + 2r) * (-6 + r)
(-11(-6 + r) + 2r * (-6 + r)) = 0
((-6 * -11 + r * -11) + 2r * (-6 + r)) = 0
((66 + -11r) + 2r * (-6 + r)) = 0
(66 + -11r + (-6 * 2r + r * 2r)) = 0
(66 + -11r + (-12r + 2r2)) = 0

Combine like terms: -11r + -12r = -23r
(66 + -23r + 2r2) = 0

Solving
66 + -23r + 2r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(11 + -2r)(6 + -1r) = 0

Subproblem 1
Set the factor '(11 + -2r)' equal to zero and attempt to solve:

Simplifying
11 + -2r = 0

Solving
11 + -2r = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2r = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2r = 0 + -11
-2r = 0 + -11

Combine like terms: 0 + -11 = -11
-2r = -11

Divide each side by '-2'.
r = 5.5

Simplifying
r = 5.5
Subproblem 2
Set the factor '(6 + -1r)' equal to zero and attempt to solve:

Simplifying
6 + -1r = 0

Solving
6 + -1r = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1r = 0 + -6

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

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

Divide each side by '-1'.
r = 6

Simplifying
r = 6
Solution
r = {5.5, 6}