0=r^2-11r-60

Solution for 0=r^2-11r-60 equation:

Simplifying
0 = r2 + -11r + -60

Reorder the terms:
0 = -60 + -11r + r2

Solving
0 = -60 + -11r + r2

Solving for variable 'r'.

Combine like terms: 0 + 60 = 60
60 + 11r + -1r2 = -60 + -11r + r2 + 60 + 11r + -1r2

Reorder the terms:
60 + 11r + -1r2 = -60 + 60 + -11r + 11r + r2 + -1r2

Combine like terms: -60 + 60 = 0
60 + 11r + -1r2 = 0 + -11r + 11r + r2 + -1r2
60 + 11r + -1r2 = -11r + 11r + r2 + -1r2

Combine like terms: -11r + 11r = 0
60 + 11r + -1r2 = 0 + r2 + -1r2
60 + 11r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
60 + 11r + -1r2 = 0

Factor a trinomial.
(15 + -1r)(4 + r) = 0

Subproblem 1
Set the factor '(15 + -1r)' equal to zero and attempt to solve:

Simplifying
15 + -1r = 0

Solving
15 + -1r = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1r = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1r = 0 + -15
-1r = 0 + -15

Combine like terms: 0 + -15 = -15
-1r = -15

Divide each side by '-1'.
r = 15

Simplifying
r = 15
Subproblem 2
Set the factor '(4 + r)' equal to zero and attempt to solve:

Simplifying
4 + r = 0

Solving
4 + r = 0

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

Add '-4' to each side of the equation.
4 + -4 + r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + r = 0 + -4
r = 0 + -4

Combine like terms: 0 + -4 = -4
r = -4

Simplifying
r = -4
Solution
r = {15, -4}