r^2+36r-252=0

Solution for r^2+36r-252=0 equation:

Simplifying
r2 + 36r + -252 = 0

Reorder the terms:
-252 + 36r + r2 = 0

Solving
-252 + 36r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-42 + -1r)(6 + -1r) = 0

Subproblem 1
Set the factor '(-42 + -1r)' equal to zero and attempt to solve:

Simplifying
-42 + -1r = 0

Solving
-42 + -1r = 0

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

Add '42' to each side of the equation.
-42 + 42 + -1r = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -1r = 0 + 42
-1r = 0 + 42

Combine like terms: 0 + 42 = 42
-1r = 42

Divide each side by '-1'.
r = -42

Simplifying
r = -42
Subproblem 2
Set the factor '(6 + -1r)' equal to zero and attempt to solve:

Simplifying
6 + -1r = 0

Solving
6 + -1r = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1r = 0 + -6
-1r = 0 + -6

Combine like terms: 0 + -6 = -6
-1r = -6

Divide each side by '-1'.
r = 6

Simplifying
r = 6
Solution
r = {-42, 6}