Question

find all real solutions of each equation
|2x + 1| = 6x – 9

Answer 1

Split the part that equals the absolute value into plus or minus

1.) 2x+1=6x-9
and
2.) 2x+1=(-6x-9)

Now just solve for x for both equations.

Answer 2

for this problems I always suggest a graphic method

Answer 3

http://www.wolframalpha.com/input/?i=solve%28 |2x+%2B+1|+%3D+6x+%E2%80%93+9%2Cx%29


Click "show steps" when you get there

Answer 4

Make sure to copy and paste the entire url

Answer 5

just solve :
2x+1=6x-9
thats the only answer

Answer 6

yup