Question 21905
first create an equation representing the situation <br>

x+12/x=-7<br>

now multiply both sides of the equation by x to clear the fraction <br>

x^2+12 = -7x<br>

now solve<br>

x^2+7x+12=0
(x+3)(x+4)<br>

x+3=0 x+4=0 <br>

x= -3 and -4<br>

checking<br>

-3-12/3=-7
-3+-4=-7
-7=-7<br>

-4-12/-4=-7
-4+-3=-7
-7=-7