(r-6)(8r-5)=

Solution for (r-6)(8r-5)= equation:

Simplifying
(r + -6)(8r + -5) = 0

Reorder the terms:
(-6 + r)(8r + -5) = 0

Reorder the terms:
(-6 + r)(-5 + 8r) = 0

Multiply (-6 + r) * (-5 + 8r)
(-6(-5 + 8r) + r(-5 + 8r)) = 0
((-5 * -6 + 8r * -6) + r(-5 + 8r)) = 0
((30 + -48r) + r(-5 + 8r)) = 0
(30 + -48r + (-5 * r + 8r * r)) = 0
(30 + -48r + (-5r + 8r2)) = 0

Combine like terms: -48r + -5r = -53r
(30 + -53r + 8r2) = 0

Solving
30 + -53r + 8r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(5 + -8r)(6 + -1r) = 0

Subproblem 1
Set the factor '(5 + -8r)' equal to zero and attempt to solve:

Simplifying
5 + -8r = 0

Solving
5 + -8r = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8r = 0 + -5
-8r = 0 + -5

Combine like terms: 0 + -5 = -5
-8r = -5

Divide each side by '-8'.
r = 0.625

Simplifying
r = 0.625
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 = {0.625, 6}