5r^2+-22r-48=0

Solution for 5r^2+-22r-48=0 equation:

Simplifying
5r2 + -22r + -48 = 0

Reorder the terms:
-48 + -22r + 5r2 = 0

Solving
-48 + -22r + 5r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-8 + -5r)(6 + -1r) = 0

Subproblem 1
Set the factor '(-8 + -5r)' equal to zero and attempt to solve:

Simplifying
-8 + -5r = 0

Solving
-8 + -5r = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5r = 0 + 8
-5r = 0 + 8

Combine like terms: 0 + 8 = 8
-5r = 8

Divide each side by '-5'.
r = -1.6

Simplifying
r = -1.6
Subproblem 2
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
Solution
r = {-1.6, 6}