\(\frac{1}{6x}+\frac{1}{10x}-\frac{4}{15x}+1=0\)
\(\Rightarrow\frac{1}{x}\left(\frac{1}{6}+\frac{1}{10}-\frac{4}{15}\right)+1=0\)
\(\Rightarrow\frac{1}{x}.0+1=0\)
\(\Rightarrow1=0\)( vô lý )
=> không có giá trị x thỏa mãn đề bài
Study well
\(\frac{1}{6x}+\frac{1}{10x}-\frac{4}{15x}+1=0\)
\(\Rightarrow\frac{1}{12}\times\frac{2}{x}+\frac{1}{20}\times\frac{2}{x}-\frac{2}{15}\times\frac{2}{x}=-1\)
\(\Rightarrow\frac{2}{x}\times\left(\frac{1}{12}+\frac{1}{20}-\frac{2}{15}\right)=-1\)
\(\Rightarrow\frac{2}{x}\times\left(\frac{1}{3\times4}+\frac{1}{4\times5}-\frac{2}{3\times5}\right)=-1\)
\(\Rightarrow\frac{2}{x}\times\left(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}-\frac{1}{3}-\frac{1}{5}\right)=-1\)
\(\Rightarrow\frac{2}{x}\times0=-1\)
\(\Rightarrow x\in\varnothing\)
