121r^2-44r=5

Solution for 121r^2-44r=5 equation:

Simplifying
121r2 + -44r = 5

Reorder the terms:
-44r + 121r2 = 5

Solving
-44r + 121r2 = 5

Solving for variable 'r'.

Reorder the terms:
-5 + -44r + 121r2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -44r + 121r2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -11r)' equal to zero and attempt to solve:

Simplifying
5 + -11r = 0

Solving
5 + -11r = 0

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

Add '-5' to each side of the equation.
5 + -5 + -11r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -11r = 0 + -5
-11r = 0 + -5

Combine like terms: 0 + -5 = -5
-11r = -5

Divide each side by '-11'.
r = 0.4545454545

Simplifying
r = 0.4545454545
Solution
r = {-0.09090909091, 0.4545454545}