(4x-3+2x)(8x+1)=27
(6x-3)(8x+1)=27
48x+6x-24x-3=27
30x-3=27
30x=27+3=30
x=30/30=1
<=> (6x-3)(8x+1)=27
<=> 3(2x-1)(8x+1)=27
<=> 16x2+2x-8x-1=9
<=> 16x2-6x-10=0
<=> 8x2-3x-5=0
<=> 8x2-8-3x+3=0
<=> 8(x-1)(x+1)-3(x-1)=0
<=> (x-1)(8x+8-3)=0
<=> (x-1)(8x+5)=0
=> \(\hept{\begin{cases}x_1=1\\x_2=-\frac{5}{8}\end{cases}}\)