r^2+17r-60=0

Solution for r^2+17r-60=0 equation:

Simplifying
r2 + 17r + -60 = 0

Reorder the terms:
-60 + 17r + r2 = 0

Solving
-60 + 17r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-20 + -1r)(3 + -1r) = 0

Subproblem 1
Set the factor '(-20 + -1r)' equal to zero and attempt to solve:

Simplifying
-20 + -1r = 0

Solving
-20 + -1r = 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 + -1r = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1r = 0 + 20
-1r = 0 + 20

Combine like terms: 0 + 20 = 20
-1r = 20

Divide each side by '-1'.
r = -20

Simplifying
r = -20
Subproblem 2
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
Solution
r = {-20, 3}