r^2+r-272=

Solution for r^2+r-272= equation:

Simplifying
r2 + r + -272 = 0

Reorder the terms:
-272 + r + r2 = 0

Solving
-272 + r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-17 + -1r)(16 + -1r) = 0

Subproblem 1
Set the factor '(-17 + -1r)' equal to zero and attempt to solve:

Simplifying
-17 + -1r = 0

Solving
-17 + -1r = 0

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

Add '17' to each side of the equation.
-17 + 17 + -1r = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1r = 0 + 17
-1r = 0 + 17

Combine like terms: 0 + 17 = 17
-1r = 17

Divide each side by '-1'.
r = -17

Simplifying
r = -17
Subproblem 2
Set the factor '(16 + -1r)' equal to zero and attempt to solve:

Simplifying
16 + -1r = 0

Solving
16 + -1r = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1r = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1r = 0 + -16
-1r = 0 + -16

Combine like terms: 0 + -16 = -16
-1r = -16

Divide each side by '-1'.
r = 16

Simplifying
r = 16
Solution
r = {-17, 16}