\frac{7}{3}, \\ x^2-3x=0, \\ x(x-3)=0, x_1=0<\frac{7}{3}, \\ x-3=0, x_2=3; \\" alt="x^2-7=|3x-7|, \\ \left [{{ \left \{ {{3x-7<0,} \atop {x^2-7=-(3x-7),}} \right. } \atop { \left \{ {{3x-7 \geq 0,} \atop {x^2-7=3x-7;}} \right. }} \right. \left [{{ \left \{ {{x< \frac{7}{3} ,} \atop {x^2+3x-14=0,}} \right. } \atop { \left \{ {{x \geq \frac{7}{3} ,} \atop {x^2-3x=0;}} \right. }} \right. \\ x^2+3x-14=0, \\ D=65, \\ x_1= \frac{-3- \sqrt{65} }{2}<0<\frac{7}{3} , x_2= \frac{-3+\sqrt{65} }{2}>\frac{7}{3}, \\ x^2-3x=0, \\ x(x-3)=0, x_1=0<\frac{7}{3}, \\ x-3=0, x_2=3; \\" align="absmiddle" class="latex-formula">