\(\dfrac{5}{6}.|\dfrac{3}{8}-x|-\left(\dfrac{-7}{8}+\dfrac{11}{12}-\dfrac{5}{6}\right)=-\left(\dfrac{-1}{2}\right)^2\)
\(\dfrac{5}{6}.|\dfrac{3}{8}-x|=-\dfrac{1}{4}+\left(\dfrac{-7}{8}+\dfrac{11}{12}-\dfrac{5}{6}\right)\)
\(\dfrac{5}{6}|\dfrac{3}{8}-x|=\dfrac{-25}{24}\)
\(|\dfrac{3}{8}-x|=\dfrac{-25}{24}:\dfrac{5}{6}\)
\(|\dfrac{3}{8}-x|=\dfrac{-5}{4}\) ( điều này vô lí )
Vậy không có giá trị x nào thỏa mãn đề bài.
\(\dfrac{5}{6}.\left|\dfrac{3}{8}-x\right|-\left(-\dfrac{7}{8}+\dfrac{11}{12}-\dfrac{5}{6}\right)=-\left(-\dfrac{1}{2}\right)^2\\ \Rightarrow\dfrac{5}{6}.\left|\dfrac{3}{8}-x\right|+\dfrac{19}{24}=-\dfrac{1}{4}\\ \Rightarrow\dfrac{5}{6}.\left|\dfrac{3}{8}-x\right|=-\dfrac{25}{24}\\ \Rightarrow\left|\dfrac{3}{8}-x\right|=-\dfrac{5}{4}\\ \Rightarrow x\in\varnothing\)
