r^2+15r-6750=0

Solution for r^2+15r-6750=0 equation:

Simplifying
r2 + 15r + -6750 = 0

Reorder the terms:
-6750 + 15r + r2 = 0

Solving
-6750 + 15r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-90 + -1r)(75 + -1r) = 0

Subproblem 1
Set the factor '(-90 + -1r)' equal to zero and attempt to solve:

Simplifying
-90 + -1r = 0

Solving
-90 + -1r = 0

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

Add '90' to each side of the equation.
-90 + 90 + -1r = 0 + 90

Combine like terms: -90 + 90 = 0
0 + -1r = 0 + 90
-1r = 0 + 90

Combine like terms: 0 + 90 = 90
-1r = 90

Divide each side by '-1'.
r = -90

Simplifying
r = -90
Subproblem 2
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
Solution
r = {-90, 75}