\(\dfrac{x-4}{5}+\dfrac{3x-2}{10}=\dfrac{2x-5}{x}-\dfrac{7x+2}{6}\left(x\ne0\right)\)
\(\Leftrightarrow\dfrac{6x\left(x-4\right)}{30x}+\dfrac{3x\left(3x-2\right)}{30x}=\dfrac{30\left(2x-5\right)}{30x}-\dfrac{5x\left(7x+2\right)}{30x}\)
\(\Leftrightarrow6x^2-24x+9x^2-6x=60x-150-35x^2-10x\)
\(\Leftrightarrow15x^2-30x=-35x^2+50x-150\)
\(\Leftrightarrow50x^2-80x+150=0\)
\(\Leftrightarrow5x^2-8x+15=0\)
\(\Leftrightarrow5\left(x^2-\dfrac{8}{5}x+3\right)=0\)
\(\Leftrightarrow5\left(x^2-2\cdot x\cdot\dfrac{4}{5}+\dfrac{16}{25}-\dfrac{16}{25}+3\right)=0\)
\(\Leftrightarrow5\left(x-\dfrac{4}{5}\right)^2-\dfrac{16}{5}+15=0\)
\(\Leftrightarrow5\left(x-\dfrac{4}{5}\right)^2+\dfrac{59}{5}>0\)
Không có x thỏa mãn
