r^2-20r+17=-2

Solution for r^2-20r+17=-2 equation:

Simplifying
r2 + -20r + 17 = -2

Reorder the terms:
17 + -20r + r2 = -2

Solving
17 + -20r + r2 = -2

Solving for variable 'r'.

Reorder the terms:
17 + 2 + -20r + r2 = -2 + 2

Combine like terms: 17 + 2 = 19
19 + -20r + r2 = -2 + 2

Combine like terms: -2 + 2 = 0
19 + -20r + r2 = 0

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

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

Simplifying
1 + -1r = 0

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

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

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

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

Simplifying
r = 1
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 = {1, 19}