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

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

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

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

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

Multiply (-3 + 4r) * (-5 + 5r)
(-3(-5 + 5r) + 4r * (-5 + 5r)) = 0
((-5 * -3 + 5r * -3) + 4r * (-5 + 5r)) = 0
((15 + -15r) + 4r * (-5 + 5r)) = 0
(15 + -15r + (-5 * 4r + 5r * 4r)) = 0
(15 + -15r + (-20r + 20r2)) = 0

Combine like terms: -15r + -20r = -35r
(15 + -35r + 20r2) = 0

Solving
15 + -35r + 20r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -7r + 4r2) = 0

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

Ignore the factor 5.
Subproblem 1
Set the factor '(3 + -4r)' equal to zero and attempt to solve:

Simplifying
3 + -4r = 0

Solving
3 + -4r = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4r = 0 + -3
-4r = 0 + -3

Combine like terms: 0 + -3 = -3
-4r = -3

Divide each side by '-4'.
r = 0.75

Simplifying
r = 0.75
Subproblem 2
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
Solution
r = {0.75, 1}