(4r-4)(5r+6)=

Solution for (4r-4)(5r+6)= equation:

Simplifying
(4r + -4)(5r + 6) = 0

Reorder the terms:
(-4 + 4r)(5r + 6) = 0

Reorder the terms:
(-4 + 4r)(6 + 5r) = 0

Multiply (-4 + 4r) * (6 + 5r)
(-4(6 + 5r) + 4r * (6 + 5r)) = 0
((6 * -4 + 5r * -4) + 4r * (6 + 5r)) = 0
((-24 + -20r) + 4r * (6 + 5r)) = 0
(-24 + -20r + (6 * 4r + 5r * 4r)) = 0
(-24 + -20r + (24r + 20r2)) = 0

Combine like terms: -20r + 24r = 4r
(-24 + 4r + 20r2) = 0

Solving
-24 + 4r + 20r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + r + 5r2) = 0

Factor a trinomial.
4((-6 + -5r)(1 + -1r)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-6 + -5r)' equal to zero and attempt to solve:

Simplifying
-6 + -5r = 0

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

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

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

Divide each side by '-5'.
r = -1.2

Simplifying
r = -1.2
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 = {-1.2, 1}