r^2+15r-324=0

Solution for r^2+15r-324=0 equation:

Simplifying
r2 + 15r + -324 = 0

Reorder the terms:
-324 + 15r + r2 = 0

Solving
-324 + 15r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-27 + -1r)(12 + -1r) = 0

Subproblem 1
Set the factor '(-27 + -1r)' equal to zero and attempt to solve:

Simplifying
-27 + -1r = 0

Solving
-27 + -1r = 0

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

Add '27' to each side of the equation.
-27 + 27 + -1r = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -1r = 0 + 27
-1r = 0 + 27

Combine like terms: 0 + 27 = 27
-1r = 27

Divide each side by '-1'.
r = -27

Simplifying
r = -27
Subproblem 2
Set the factor '(12 + -1r)' equal to zero and attempt to solve:

Simplifying
12 + -1r = 0

Solving
12 + -1r = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1r = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1r = 0 + -12
-1r = 0 + -12

Combine like terms: 0 + -12 = -12
-1r = -12

Divide each side by '-1'.
r = 12

Simplifying
r = 12
Solution
r = {-27, 12}