r^2+2r-224=0

Solution for r^2+2r-224=0 equation:

Simplifying
r2 + 2r + -224 = 0

Reorder the terms:
-224 + 2r + r2 = 0

Solving
-224 + 2r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-16 + -1r)(14 + -1r) = 0

Subproblem 1
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
Subproblem 2
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
Solution
r = {-16, 14}