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

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

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

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

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

Multiply (-4 + 5r) * (6 + 5r)
(-4(6 + 5r) + 5r * (6 + 5r)) = 0
((6 * -4 + 5r * -4) + 5r * (6 + 5r)) = 0
((-24 + -20r) + 5r * (6 + 5r)) = 0
(-24 + -20r + (6 * 5r + 5r * 5r)) = 0
(-24 + -20r + (30r + 25r2)) = 0

Combine like terms: -20r + 30r = 10r
(-24 + 10r + 25r2) = 0

Solving
-24 + 10r + 25r2 = 0

Solving for variable 'r'.

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

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 '(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 = {-1.2, 0.8}