=>(9x^2+24x-6x-16)(x^2+2x+1)=-16
=>(9x^2+18x-16)(x^2+2x+1)=-16
=>(9x^2+18x+9-25)(x^2+2x+1)=-16
=>[9(x+1)^2-25](x+1)^2=-16
=>9(x+1)^4-25(x+1)^2+16=0
Đặt (x+1)^2=a
=>9a^2-25a+16=0
=>a=1 hoặc a=16/9
=>(x+1)^2=1 hoặc (x+1)^2=16/9
=>\(x\in\left\{0;-2;\dfrac{1}{3};-\dfrac{7}{3}\right\}\)