55r^2+73r-24=

Solution for 55r^2+73r-24= equation:

Simplifying
55r2 + 73r + -24 = 0

Reorder the terms:
-24 + 73r + 55r2 = 0

Solving
-24 + 73r + 55r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-8 + -5r)(3 + -11r) = 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 '(3 + -11r)' equal to zero and attempt to solve:

Simplifying
3 + -11r = 0

Solving
3 + -11r = 0

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

Add '-3' to each side of the equation.
3 + -3 + -11r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -11r = 0 + -3
-11r = 0 + -3

Combine like terms: 0 + -3 = -3
-11r = -3

Divide each side by '-11'.
r = 0.2727272727

Simplifying
r = 0.2727272727
Solution
r = {-1.6, 0.2727272727}