2x^2 + 16x + 32=0
it's simply find discriminant
d=b^2-4ac for (ax^2+bx+c=0)
d=(16)^2 -4(2)(32)=256-256=0
hence roots will be real and equal
x=(-b+d^(1/2))/2a
x=(-16+0)/4
x=-4
hence both root are -4,-4
graph will touch x axis at (-4,0) only and always above x axis