55r^2+14r-24=

Solution for 55r^2+14r-24= equation:

Simplifying
55r2 + 14r + -24 = 0

Reorder the terms:
-24 + 14r + 55r2 = 0

Solving
-24 + 14r + 55r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-4 + -5r)(6 + -11r) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -11r)' equal to zero and attempt to solve:

Simplifying
6 + -11r = 0

Solving
6 + -11r = 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 + -11r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -11r = 0 + -6
-11r = 0 + -6

Combine like terms: 0 + -6 = -6
-11r = -6

Divide each side by '-11'.
r = 0.5454545455

Simplifying
r = 0.5454545455
Solution
r = {-0.8, 0.5454545455}