Пожалуйста,помогите!![latex]ctgX-tgX-2tg2x-4tg4x+8=0[/latex]

ctgx-tgx-2tg2x-4tg4x+8=0; cosx/sinx- sinx/cosx- 2tg2x-4tg4x +8=0; (cos²x-sin²x)/(sinx·cosx ) -2sin2x/cos2x -4tg4x +8=0; 2(cos²2x-sin²2x)/(1/2·sin4x) -4sin4x/cos4x +8=0; 4cos4x/sin4x - 4sin4x/cos4x+8=0; 4(cos²4x-sin²4x)/(sin4x·cos4x) +8=0; 8cos8x/sin8x +8=0; 8(ctg8x+1)=0; ctg8x=-1;⇒ 8x=-π/4+kπ;k∈Z; x=-π/32+kπ/8;k∈Z;