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

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

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

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

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

Multiply (-5 + 6r) * (-5 + r)
(-5(-5 + r) + 6r * (-5 + r)) = 0
((-5 * -5 + r * -5) + 6r * (-5 + r)) = 0
((25 + -5r) + 6r * (-5 + r)) = 0
(25 + -5r + (-5 * 6r + r * 6r)) = 0
(25 + -5r + (-30r + 6r2)) = 0

Combine like terms: -5r + -30r = -35r
(25 + -35r + 6r2) = 0

Solving
25 + -35r + 6r2 = 0

Solving for variable 'r'.

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

Subproblem 1
Set the factor '(5 + -6r)' equal to zero and attempt to solve:

Simplifying
5 + -6r = 0

Solving
5 + -6r = 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 + -6r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6r = 0 + -5
-6r = 0 + -5

Combine like terms: 0 + -5 = -5
-6r = -5

Divide each side by '-6'.
r = 0.8333333333

Simplifying
r = 0.8333333333
Subproblem 2
Set the factor '(5 + -1r)' equal to zero and attempt to solve:

Simplifying
5 + -1r = 0

Solving
5 + -1r = 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 + -1r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1r = 0 + -5
-1r = 0 + -5

Combine like terms: 0 + -5 = -5
-1r = -5

Divide each side by '-1'.
r = 5

Simplifying
r = 5
Solution
r = {0.8333333333, 5}