Question

Solve for x: -3|x + 7| = -12

1)x = 5/3 , x = - 19/3
2)x = -3, x = -11
3)x = -3, x = 11
4)No solution

Answer 1

divide both sides by (-3) first, which gives us

|x + 7| = 4

the absolute value sign means that there are two cases:

(x+7) = 4
and
(x+7) = -4

solve each of those equations for x

Answer 2

What about this one?

Solve for x: |x + 2| + 16 = 14

x = -32 and x = -4
x = -4 and x = 0
x = 0 and x = 28
No solution

Answer 3

after we subtract 16 from both sides we get
|x+2| = -2
since absolute value is never negative, this has no solution

Answer 4

the absolute values means the positive value...i.e

Answer 5

What about this one?

Solve for x: -3|2x + 6| = -12

1) x = 1 and x = 5
2) x = -1 and x = -5
3) x = -9 and x = 3
4) No solution

Answer 6

so x+2+16=14
x+18=14
x=14-18
x=?

Answer 7

would it be no solution?

Answer 8

no

Answer 9

wait what problem are you talking about? I am talking about this problem

Solve for x: -3|2x + 6| = -12

x = 1 and x = 5
x = -1 and x = -5
x = -9 and x = 3
No solution

Answer 10

x=-4

Answer 11

this one Solve for x: |x + 2| + 16 = 14