Question

|8w+2| + 2=0

Show work please

Answer 1

`|8w+2|+2=0\\\\ |8w+2|=-2\\\\Formula\ for\ absolute\ value\\\\ |a|=a,\ for\ a \geq 0\\ or\\|a|=-a,\ for\ a<0\\\\\ 1.\\8w+2 \geq 0\\\\ 8w \geq -2\\\\ w \geq -(1)/(4)\\\\ 8w+2=-2\\\\ 8w=-4\\\\w=-(1)/(2)\\\\2.\\8w+2 <0\\\\8w<-2\\\\w<-(1)/(4)\\\\8w+2=2\\\\8w=0\\\\ w=0\\\\ Summing\ all\ conditions:\\\\ No\ solutions.`

Answer 2

`|8w+2| + 2=0 \ \ \ subtract\ 2 \ to\ both\ sides \\\\|8w+2| =-2 \\\\absolute \ value \ can \ not \ be \ negative, \ is \ equal \ to \ zero \ or \ greater \ than \ zero`