SOLUTION: Im having trouble in my algebra 2 class, abecause i sont understand anything the teacher is teaching because he skipps a lot of steps and expacts us to knwo what he did to get ther

Algebra ->  Absolute-value -> SOLUTION: Im having trouble in my algebra 2 class, abecause i sont understand anything the teacher is teaching because he skipps a lot of steps and expacts us to knwo what he did to get ther      Log On


   

Question 145219This question is from textbook Prentice Hall Algebra 2 With Trigonometry
: Im having trouble in my algebra 2 class, abecause i sont understand anything the teacher is teaching because he skipps a lot of steps and expacts us to knwo what he did to get there. So i was woundering if you could help?
Well heres the problem |-4x|=32 This question is from textbook Prentice Hall Algebra 2 With Trigonometry

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28-4x%29=32 Start with the given equation


Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

-4x=-32 or -4x=32 Set the expression -4x equal to the original value 32 and it's opposite -32




Now lets focus on the first equation -4x=-32


x=%28-32%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=8 Divide






Now lets focus on the second equation -4x=32



x=%2832%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=-8 Divide





So the solutions to abs%28-4x%29=32 are:

x=8 or x=-8