r^2-20r+51=

Solution for r^2-20r+51= equation:

Simplifying
r2 + -20r + 51 = 0

Reorder the terms:
51 + -20r + r2 = 0

Solving
51 + -20r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(3 + -1r)(17 + -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 '(17 + -1r)' equal to zero and attempt to solve:

Simplifying
17 + -1r = 0

Solving
17 + -1r = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1r = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1r = 0 + -17
-1r = 0 + -17

Combine like terms: 0 + -17 = -17
-1r = -17

Divide each side by '-1'.
r = 17

Simplifying
r = 17
Solution
r = {3, 17}