55r^2+94r-9=0

Solution for 55r^2+94r-9=0 equation:

Simplifying
55r2 + 94r + -9 = 0

Reorder the terms:
-9 + 94r + 55r2 = 0

Solving
-9 + 94r + 55r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-9 + -5r)(1 + -11r) = 0

Subproblem 1
Set the factor '(-9 + -5r)' equal to zero and attempt to solve:

Simplifying
-9 + -5r = 0

Solving
-9 + -5r = 0

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

Add '9' to each side of the equation.
-9 + 9 + -5r = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5r = 0 + 9
-5r = 0 + 9

Combine like terms: 0 + 9 = 9
-5r = 9

Divide each side by '-5'.
r = -1.8

Simplifying
r = -1.8
Subproblem 2
Set the factor '(1 + -11r)' equal to zero and attempt to solve:

Simplifying
1 + -11r = 0

Solving
1 + -11r = 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 + -11r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -11r = 0 + -1
-11r = 0 + -1

Combine like terms: 0 + -1 = -1
-11r = -1

Divide each side by '-11'.
r = 0.09090909091

Simplifying
r = 0.09090909091
Solution
r = {-1.8, 0.09090909091}