(r^2)+2r-168=0

Solution for (r^2)+2r-168=0 equation:

Simplifying
(r2) + 2r + -168 = 0
r2 + 2r + -168 = 0

Reorder the terms:
-168 + 2r + r2 = 0

Solving
-168 + 2r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-14 + -1r)(12 + -1r) = 0

Subproblem 1
Set the factor '(-14 + -1r)' equal to zero and attempt to solve:

Simplifying
-14 + -1r = 0

Solving
-14 + -1r = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1r = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1r = 0 + 14
-1r = 0 + 14

Combine like terms: 0 + 14 = 14
-1r = 14

Divide each side by '-1'.
r = -14

Simplifying
r = -14
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 = {-14, 12}