Answer :
x^2-4x-32=0
(x+a)(x+b)
x^2-(a+b)x+ab
a+b=4
ab=-32
a=-b+4
(-b+4)b=-32
-b^2+4b=-32
b^2-4b-32=0
b=8,-4
If b=8, a=-4
If b=-4, a= 8
Plug in a and b to (x+a)(x+b)
x= -4, 8
(x+a)(x+b)
x^2-(a+b)x+ab
a+b=4
ab=-32
a=-b+4
(-b+4)b=-32
-b^2+4b=-32
b^2-4b-32=0
b=8,-4
If b=8, a=-4
If b=-4, a= 8
Plug in a and b to (x+a)(x+b)
x= -4, 8