Question 1107177
{{{ x^2 + 9x + 14 = 0 }}}
{{{ (x + 7)(x + 2) = 0 }}}

which has roots:  x= -7 and  x= -2

Since it is not specified how h and k are related, there are two solutions.

(1) Assigning 
h+1 = -7  
k-2 = -2  

gives  <b> h=-8 and k=0 </b>
——
 
(2) If you assign
h+1 = -2
k-2 = -7

then   <b> h=-3 and k=-5  </b>