r^2+6r-4752=0

Solution for r^2+6r-4752=0 equation:

Simplifying
r2 + 6r + -4752 = 0

Reorder the terms:
-4752 + 6r + r2 = 0

Solving
-4752 + 6r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-72 + -1r)(66 + -1r) = 0

Subproblem 1
Set the factor '(-72 + -1r)' equal to zero and attempt to solve:

Simplifying
-72 + -1r = 0

Solving
-72 + -1r = 0

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

Add '72' to each side of the equation.
-72 + 72 + -1r = 0 + 72

Combine like terms: -72 + 72 = 0
0 + -1r = 0 + 72
-1r = 0 + 72

Combine like terms: 0 + 72 = 72
-1r = 72

Divide each side by '-1'.
r = -72

Simplifying
r = -72
Subproblem 2
Set the factor '(66 + -1r)' equal to zero and attempt to solve:

Simplifying
66 + -1r = 0

Solving
66 + -1r = 0

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

Add '-66' to each side of the equation.
66 + -66 + -1r = 0 + -66

Combine like terms: 66 + -66 = 0
0 + -1r = 0 + -66
-1r = 0 + -66

Combine like terms: 0 + -66 = -66
-1r = -66

Divide each side by '-1'.
r = 66

Simplifying
r = 66
Solution
r = {-72, 66}