r^2+15r-4500=0

Solution for r^2+15r-4500=0 equation:

Simplifying
r2 + 15r + -4500 = 0

Reorder the terms:
-4500 + 15r + r2 = 0

Solving
-4500 + 15r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-75 + -1r)(60 + -1r) = 0

Subproblem 1
Set the factor '(-75 + -1r)' equal to zero and attempt to solve:

Simplifying
-75 + -1r = 0

Solving
-75 + -1r = 0

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

Add '75' to each side of the equation.
-75 + 75 + -1r = 0 + 75

Combine like terms: -75 + 75 = 0
0 + -1r = 0 + 75
-1r = 0 + 75

Combine like terms: 0 + 75 = 75
-1r = 75

Divide each side by '-1'.
r = -75

Simplifying
r = -75
Subproblem 2
Set the factor '(60 + -1r)' equal to zero and attempt to solve:

Simplifying
60 + -1r = 0

Solving
60 + -1r = 0

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

Add '-60' to each side of the equation.
60 + -60 + -1r = 0 + -60

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

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

Divide each side by '-1'.
r = 60

Simplifying
r = 60
Solution
r = {-75, 60}