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

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

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

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

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

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

Combine like terms: -4r + 30r = 26r
(-24 + 26r + 5r2) = 0

Solving
-24 + 26r + 5r2 = 0

Solving for variable 'r'.

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

Subproblem 1
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
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 = {-6, 0.8}