If the equations ax2+bx+c=0 and x3+3x2+3x+2=0 have two common roots, then

By observation x = 1 satisfies equation  x3+3x2+3x+2=0then we have (x+2)x2+x+1=0x2+x+1=0 has nonreal roots.Since nonreal roots occur in conjugate pair, x2+x+1=0and ax2+bx+c=0 are identical⇒ a=b=c