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OpenStudy (anonymous):
\[|2x+3|=17\]Then solve the two equations:\[2x+3=17\]and\[-2x-3=17\]
OpenStudy (anonymous):
Just like the other problem:
\[|2x+3|-6=11 \iff |2x+3|=17\]\[2x+3=17\]\[2x=14 \iff x = 7\]and\[2x+3=-17\]\[2x=-20 \iff x = -10\]Solutions: \[x=-10\]and\[x=7\]
OpenStudy (jazzyfa30):
x=10 and x=-7
OpenStudy (anonymous):
I got x=-10 and x=7...
OpenStudy (jazzyfa30):
so I just switch the signs on the answer
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OpenStudy (jazzyfa30):
|4x + 2| + 6 =0 what about this one
OpenStudy (anonymous):
\[|4x+2|=-6\]
It's impossible, because |n| will be always positive.
So thats no solution.
OpenStudy (jazzyfa30):
okay and this one |4x +2| =6
OpenStudy (anonymous):
Same way as the first one. The two equations\[4x+2=6\]and\[4x+2=-6\]
OpenStudy (jazzyfa30):
x=1 and x=-2 right
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OpenStudy (anonymous):
Yep!
OpenStudy (jazzyfa30):
1more: |3x | if x =-2
OpenStudy (anonymous):
Well, what is 3x if x=-2?
OpenStudy (jazzyfa30):
I think x=6
OpenStudy (anonymous):
|3(-2)|=|-6|
And |-6|=6
So it is 6, though x =/= 6
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