r^2-22r+121=4

Solution for r^2-22r+121=4 equation:

Simplifying
r2 + -22r + 121 = 4

Reorder the terms:
121 + -22r + r2 = 4

Solving
121 + -22r + r2 = 4

Solving for variable 'r'.

Reorder the terms:
121 + -4 + -22r + r2 = 4 + -4

Combine like terms: 121 + -4 = 117
117 + -22r + r2 = 4 + -4

Combine like terms: 4 + -4 = 0
117 + -22r + r2 = 0

Factor a trinomial.
(9 + -1r)(13 + -1r) = 0

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

Simplifying
9 + -1r = 0

Solving
9 + -1r = 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 + -1r = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1r = 0 + -9
-1r = 0 + -9

Combine like terms: 0 + -9 = -9
-1r = -9

Divide each side by '-1'.
r = 9

Simplifying
r = 9
Subproblem 2
Set the factor '(13 + -1r)' equal to zero and attempt to solve:

Simplifying
13 + -1r = 0

Solving
13 + -1r = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1r = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1r = 0 + -13
-1r = 0 + -13

Combine like terms: 0 + -13 = -13
-1r = -13

Divide each side by '-1'.
r = 13

Simplifying
r = 13
Solution
r = {9, 13}