How do you solve $|6x + 3| = 6$ ?

Question

1369 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-12T21:43:05

$x = -3/2,1/2$

One theorem states $absx=sqrt(x^2)$

So

$abs(6x+3)=sqrt((6x+3)^2)=6$

$rArr(6x+3)^2=36$

$rArr 36x^2+36x+9=36$

$rArr 4x^2+4x-3=0$

$rArr (2x-1)(2x+3)=0$

$rArr x=1/2,-3/2$

How do you solve |6x + 3| = 6 |6x + 3| = 6?