How do you solve $|4x-2|=6$ ?

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Answer 1 · 2016-04-09T22:20:28

$x=-1,2$

The procedure is to separate the equation in two branches:

$1) if 4x-2>0:$

$|4x-2|=6 and 4x-2>0$

$4x-2=6 and 4x>2$

$4x=6+2 and x>2/4$

$x=8/4 and x>2/4$

$x=2 and x>1/2$

$x=2$

$2) if 4x-2<0:$

$|4x-2|=6 and 4x-2<0$

$-4x+2=6 and 4x<2$

$-4x=6-2 and x<2/4$

$x=-4/4 and x<2/4$

$x=-1 and x<1/2$

$x=-1$

How do you solve |4x-2|=6 |4x-2|=6?