r^2-22r+57=

Solution for r^2-22r+57= equation:

Simplifying
r2 + -22r + 57 = 0

Reorder the terms:
57 + -22r + r2 = 0

Solving
57 + -22r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(3 + -1r)(19 + -1r) = 0

Subproblem 1
Set the factor '(3 + -1r)' equal to zero and attempt to solve:

Simplifying
3 + -1r = 0

Solving
3 + -1r = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1r = 0 + -3
-1r = 0 + -3

Combine like terms: 0 + -3 = -3
-1r = -3

Divide each side by '-1'.
r = 3

Simplifying
r = 3
Subproblem 2
Set the factor '(19 + -1r)' equal to zero and attempt to solve:

Simplifying
19 + -1r = 0

Solving
19 + -1r = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1r = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1r = 0 + -19
-1r = 0 + -19

Combine like terms: 0 + -19 = -19
-1r = -19

Divide each side by '-1'.
r = 19

Simplifying
r = 19
Solution
r = {3, 19}