55r^2+9r-4=

Solution for 55r^2+9r-4= equation:

Simplifying
55r2 + 9r + -4 = 0

Reorder the terms:
-4 + 9r + 55r2 = 0

Solving
-4 + 9r + 55r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-4 + -11r)(1 + -5r) = 0

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

Simplifying
1 + -5r = 0

Solving
1 + -5r = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5r = 0 + -1
-5r = 0 + -1

Combine like terms: 0 + -1 = -1
-5r = -1

Divide each side by '-5'.
r = 0.2

Simplifying
r = 0.2
Solution
r = {-0.3636363636, 0.2}