Question

HHEELP

Answer 1

Solve for x: −4|x + 5| = −16

x = 21 over 4, x = −11 over 4

x = −1, x = 9

x = −1, x = −9

No solution

Answer 2

Try dividing both sides first by the -4 to isolate the absolute value part

Answer 3

1, and -4?

Answer 4

no just divide both sides of the equation by -4

Answer 5

ok
now what

Answer 6

what do you have after doing that?

Answer 7

x: 1|x + 5| = 4

Answer 8

we have |x+5|=4

Answer 9

now |x+5| can equal x+5 or -(x+5)

Answer 10

-1?

Answer 11

whenever you have |f(x)|, this can be f(x) or -[f(x)]
It all defends on values of x that make f positive or negative

Answer 12

so since we have
|x+5| can be different things (you know depending on the value of x)
then that means we will have two equations to consider when solving
we have to consider
x+5=4 and -(x+5)=4

Answer 13

i missed the word 2 above
|x+5| can be two different things which means we have two different equations to consider when solve |x+5|=4

so what do you get when you solve both x+5=4 and -(x+5)=4

Answer 14

-1 + 5 = 4

Answer 15

so are you saying one solution is -1?
since x+5=4 gives you x=4-5=-1

Answer 16

yes

Answer 17

now what about the other solution?
-(x+5)=4

Answer 18

-9

Answer 19

right because -(x+5)=4 implies we have x+5=-4
which gives x=-4-5=-9