Solve for x: |2x + 6| − 4 = 20
x = 9 and x = 11
x = −9 and x = 15
x = 9 and x = −15
No solution

Question

Solve for x: |2x + 6| − 4 = 20
 x = 9 and x = 11
 x = −9 and x = 15
 x = 9 and x = −15
 No solution

bahrom7893 · Answer

|2x+6| -4 + 4 = 20 + 4
|2x+6| = 24

bahrom7893 · Answer

Which means that 2x+6 could be either positive or negative 24, because:
|24| = 24 and |-24|=24, so:
(2x+6) = 24 or
-(2x+6) = 24

bahrom7893 · Answer

2x + 6 = 24
2x = 24-6 = 18
x=9

excalibur0126 · Answer

It's C but bahrom7893 can explain it

bahrom7893 · Answer

-(2x+6) = 24
2x+6 = -24
2x = -24-6 = -30
x = -30/2 = -15

anonymous · Answer

oooh ok i see thank you :) can u help me with one more?

anonymous · Answer

@bahrom7893

hero · Answer

$|2x + 6| = 24$

$\sqrt{(2x + 6)^2}= 24$

$(2x + 6)^2 = 24^2$

$4x^2 + 24x + 36 = 576$

$4x^2 + 24x - 540 = 0$

$4(x^2 + 6x - 135 = 0$

$x^2 + 6x - 135 = 0$

$x^2 + (15 - 9)x - 135 = 0$

$x^2 + 15x - 9x - 135 = 0$

$x(x + 15) - 9(x + 15)$

$(x + 15)(x - 9) = 0$

$x = \{-15, 9\}$