(3r-3)(4r-5)=

Solution for (3r-3)(4r-5)= equation:

Simplifying
(3r + -3)(4r + -5) = 0

Reorder the terms:
(-3 + 3r)(4r + -5) = 0

Reorder the terms:
(-3 + 3r)(-5 + 4r) = 0

Multiply (-3 + 3r) * (-5 + 4r)
(-3(-5 + 4r) + 3r * (-5 + 4r)) = 0
((-5 * -3 + 4r * -3) + 3r * (-5 + 4r)) = 0
((15 + -12r) + 3r * (-5 + 4r)) = 0
(15 + -12r + (-5 * 3r + 4r * 3r)) = 0
(15 + -12r + (-15r + 12r2)) = 0

Combine like terms: -12r + -15r = -27r
(15 + -27r + 12r2) = 0

Solving
15 + -27r + 12r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -9r + 4r2) = 0

Factor a trinomial.
3((1 + -1r)(5 + -4r)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + -1r)' equal to zero and attempt to solve:

Simplifying
1 + -1r = 0

Solving
1 + -1r = 0

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

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

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

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

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

Simplifying
r = 1
Subproblem 2
Set the factor '(5 + -4r)' equal to zero and attempt to solve:

Simplifying
5 + -4r = 0

Solving
5 + -4r = 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 + -4r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4r = 0 + -5
-4r = 0 + -5

Combine like terms: 0 + -5 = -5
-4r = -5

Divide each side by '-4'.
r = 1.25

Simplifying
r = 1.25
Solution
r = {1, 1.25}