60-17r=r^2

Solution for 60-17r=r^2 equation:

Simplifying
60 + -17r = r2

Solving
60 + -17r = r2

Solving for variable 'r'.

Combine like terms: r2 + -1r2 = 0
60 + -17r + -1r2 = 0

Factor a trinomial.
(3 + -1r)(20 + r) = 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 '(20 + r)' equal to zero and attempt to solve:

Simplifying
20 + r = 0

Solving
20 + r = 0

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

Add '-20' to each side of the equation.
20 + -20 + r = 0 + -20

Combine like terms: 20 + -20 = 0
0 + r = 0 + -20
r = 0 + -20

Combine like terms: 0 + -20 = -20
r = -20

Simplifying
r = -20
Solution
r = {3, -20}