r^2+69r-216=0

Solution for r^2+69r-216=0 equation:

Simplifying
r2 + 69r + -216 = 0

Reorder the terms:
-216 + 69r + r2 = 0

Solving
-216 + 69r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-72 + -1r)(3 + -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 '(3 + -1r)' equal to zero and attempt to solve:

Simplifying
3 + -1r = 0

Solving
3 + -1r = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1r = 0 + -3
-1r = 0 + -3

Combine like terms: 0 + -3 = -3
-1r = -3

Divide each side by '-1'.
r = 3

Simplifying
r = 3
Solution
r = {-72, 3}