0\\x\in:(0,\frac37)\ x=0,1\Rightarrow \frac{x(7x-3)}{4-2x}=\frac{0,1(7\cdot0,1-3)}{4-2\cdot0,1}=-\frac{0,23}{3,8}<0\\x\in:(\frac37,+\infty)\ x=1\Rightarrow \frac{x(7x-3)}{4-2x}=\frac{1(7\cdot1-3)}{4-2\cdot1}=2>0\\\Rightarrow x\in:(0,\frac37)" alt="\\ \frac{x(7x-3)}{4-2x}<0\\ \frac{x(7x-3)}{4-2x}=0\Rightarrow x(7x-3)=0\Rightarrow x=0,\ 7x-3=0\Rightarrow x=\frac37\\ x\in(-\inty,0)\cup(0,\frac37)\cup(\frac37,+\infty)\\x\in(-\infty,0):\ x=-1\Rightarrow \frac{x(7x-3)}{4-2x}=\frac{-1(7(-1)-3)}{4-2(-1)}=\frac{10}6>0\\x\in:(0,\frac37)\ x=0,1\Rightarrow \frac{x(7x-3)}{4-2x}=\frac{0,1(7\cdot0,1-3)}{4-2\cdot0,1}=-\frac{0,23}{3,8}<0\\x\in:(\frac37,+\infty)\ x=1\Rightarrow \frac{x(7x-3)}{4-2x}=\frac{1(7\cdot1-3)}{4-2\cdot1}=2>0\\\Rightarrow x\in:(0,\frac37)" align="absmiddle" class="latex-formula">