(x²-2x)/(4x-3)+5=(16-12x)(2x-x²)
x≠0,x≠2,x≠3/4
(x²-2x)/(4x-3)+5 +4(4x-3)/(x²-2x)=0
(x²-2x)/(4x-3)=t
t+5+4/t=0
t²+5t+4=0
t1+t2=-5 U t1*t2=4
t1=-4 U t2=-1
(x²-2x)/(4x-3)=-4
x²-2x=-4(4x-3)
x²-2x+16x-12=0
x²+14x-12=0
D=196+48=244
x1=(-14-2√61)/2=-7-√61
x2=-7+√61
(x²-2x)/(4x-3)=-1
x²-2x=-4x+3
x²+2x-3=0
x1+x2=-2 U x1*x2=-3
x1=-3 U x2=1