Question

|х|-2|х+1|+3|х+2|=0 помогите пожалуйста

Answer 1

$|x|-2|x+1|+3|x+2|=0\\x=0; ,; ; x+1=0; ,; ; x+2=0; ; to ; ; x_1=0; ,; x_2=-1; ,; x_3=-2\\intervalu:; ; ---(-2)---(-1)---(0)---\\1); xleq -2:; ; |x|=-x,; |x+1|=-(x+1),; |x+2|=-(x+2)\\-x+2(x+1)-3(x+2)=0\-2x-4=0; ,; ; underline {x=-2}\\2); -2 textless xleq -1:; ; |x|=-x,; |x+1|=-(x+1); ,; |x+2|=x+2\\-x+2(x+1)+3(x+2)=0\4x+8=0; ,; ; x=-2notin (-2,-1, ]\\3); -1 textless xleq 0:; ; |x|=-x,; |x+1|=x+1,; |x+2|=x+2\\-x-2(x+1)+3(x+2)=0\0cdot x+4=0; ,; 4ne 0; ; net; reshenij$

$4); x textgreater 0:; |x|=x; ,; |x+1|=x+1,; |x+2|=x+2\\x-2(x+1)+3(x+2)=0\2x+4=0; ,; ; x=-2notin (0,+infty )\\Otvet:; ; x=-2; .$