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

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

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

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

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

Multiply (-4 + 5r) * (6 + 6r)
(-4(6 + 6r) + 5r * (6 + 6r)) = 0
((6 * -4 + 6r * -4) + 5r * (6 + 6r)) = 0
((-24 + -24r) + 5r * (6 + 6r)) = 0
(-24 + -24r + (6 * 5r + 6r * 5r)) = 0
(-24 + -24r + (30r + 30r2)) = 0

Combine like terms: -24r + 30r = 6r
(-24 + 6r + 30r2) = 0

Solving
-24 + 6r + 30r2 = 0

Solving for variable 'r'.

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

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

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

Simplifying
4 + -5r = 0

Solving
4 + -5r = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5r = 0 + -4

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

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

Divide each side by '-5'.
r = 0.8

Simplifying
r = 0.8
Solution
r = {-1, 0.8}