(7r-6r-6)(2r-4)=

Solution for (7r-6r-6)(2r-4)= equation:

Simplifying
(7r + -6r + -6)(2r + -4) = 0

Reorder the terms:
(-6 + 7r + -6r)(2r + -4) = 0

Combine like terms: 7r + -6r = 1r
(-6 + 1r)(2r + -4) = 0

Reorder the terms:
(-6 + 1r)(-4 + 2r) = 0

Multiply (-6 + 1r) * (-4 + 2r)
(-6(-4 + 2r) + 1r * (-4 + 2r)) = 0
((-4 * -6 + 2r * -6) + 1r * (-4 + 2r)) = 0
((24 + -12r) + 1r * (-4 + 2r)) = 0
(24 + -12r + (-4 * 1r + 2r * 1r)) = 0
(24 + -12r + (-4r + 2r2)) = 0

Combine like terms: -12r + -4r = -16r
(24 + -16r + 2r2) = 0

Solving
24 + -16r + 2r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -8r + r2) = 0

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

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

Simplifying
2 + -1r = 0

Solving
2 + -1r = 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 + -1r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = 0 + -2
-1r = 0 + -2

Combine like terms: 0 + -2 = -2
-1r = -2

Divide each side by '-1'.
r = 2

Simplifying
r = 2
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 = {2, 6}