|4+|5х+2||=9 решите уравнение

|4+|5x+2||=9 = [latex] \left \{ {{x \geq 0} \atop {x \leq 0}} \right. [/latex] [latex] \left \{ {|4+5x+2|=9} \atop |4-5x-2|=9}} \right. [/latex] = [latex] \left \{ {{4+5x+2=9} \atop {-4-5x-2=9}} \right. = \left \{ {{5x=3} \atop {-5x=15}} =\left \{ {{x= \frac{3}{5} } \atop {x=-3}} \right. \right. x \geq 0\\ \left \{ {{4-5x-2=9} \atop {-4+5x+2=9}} \right. = \left \{ {{-5x=7} \atop {5x=11}} \right. = \left \{ {{x=- \frac{7}{5} } \atop {x= \frac{11}{5} }} \right. x \leq 0[/latex] Следовательно ответы [latex] \frac{3}{5} [/latex] и [latex]- \frac{7}{5} [/latex]