55r^2+2r-8=

Solution for 55r^2+2r-8= equation:

Simplifying
55r2 + 2r + -8 = 0

Reorder the terms:
-8 + 2r + 55r2 = 0

Solving
-8 + 2r + 55r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-2 + -5r)(4 + -11r) = 0

Subproblem 1
Set the factor '(-2 + -5r)' equal to zero and attempt to solve:

Simplifying
-2 + -5r = 0

Solving
-2 + -5r = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5r = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5r = 0 + 2
-5r = 0 + 2

Combine like terms: 0 + 2 = 2
-5r = 2

Divide each side by '-5'.
r = -0.4

Simplifying
r = -0.4
Subproblem 2
Set the factor '(4 + -11r)' equal to zero and attempt to solve:

Simplifying
4 + -11r = 0

Solving
4 + -11r = 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 + -11r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -11r = 0 + -4
-11r = 0 + -4

Combine like terms: 0 + -4 = -4
-11r = -4

Divide each side by '-11'.
r = 0.3636363636

Simplifying
r = 0.3636363636
Solution
r = {-0.4, 0.3636363636}