−4|x + 5| = −16

Question

−4|x + 5| = −16

skullpatrol · Answer

Any ideas?

skullpatrol · Answer

Hint: there are two solutions :)

anonymous · Answer

dont you add x and 5?

anonymous · Answer

then 5x(-4)

skullpatrol · Answer

$$\Huge x + 5 $$ does mean add x and 5

skullpatrol · Answer

$$\Huge 5x$$ means multiply 5 and x

anonymous · Answer

so it would look like -4(x+5)=-16

anonymous · Answer

subtract 5 from both sides? then divide by negative 4?

skullpatrol · Answer

Yes, -4(x+5)=-16 is one way of looking at it.

 But first divide both sides by -4 then second subtract 5 from both sides

anonymous · Answer

x=-1?

skullpatrol · Answer

Yes, that is one of the solutions :-)

anonymous · Answer

how do i find the second?

anonymous · Answer

is it 9?

skullpatrol · Answer

Nope.

anonymous · Answer

-9?

skullpatrol · Answer

Yes.

anonymous · Answer

can you help with this one?|x − 2| + 10 = 12

hartnn · Answer

when 
$|a| = b $
then,
$a=b \: \: or \: \: a=-b$

hartnn · Answer

so, first try to isolate the |...| thingi
start by subtracting 10 from both sides :)

anonymous · Answer

so the absolute value of x-2 = 2

hartnn · Answer

yes!
$|a| = b \implies a=b \:\: or \: \: a=-b \ |x-2|=2 \implies (x-2)=2 \: \: or \: \: (x-2)=-2$

just solve these 2 equations :)

anonymous · Answer

x=4 and x=0?

hartnn · Answer

$\huge \color{red}{\checkmark \quad \ddot \smile}$

anonymous · Answer

−3|2x + 6| = −12

anonymous · Answer

divide -3 from both sides?

hartnn · Answer

yes :)

anonymous · Answer

which would be the absolute value of 2x+6=4

anonymous · Answer

the subtract 6 from both sides and divide by two?

hartnn · Answer

yes, but there will be 2 equations, right ? due to absolute sign
try to find both value of x
don't wait for our confirmation, keep on solving, we will stop you if you do any error :)

anonymous · Answer

okay so then x=-1 and x=-5

hartnn · Answer

thats correct! :)

anonymous · Answer

i just got al of those wrong though on my quiz?

hartnn · Answer

all ?
how did you put your answer ?

x= -1,-5
x = -1 or -5
x=-1 and -5 
??

hartnn · Answer

i re-checked.
all the answers we got are actually correct.
ideally, your system should accept it as correct...

anonymous · Answer

its multiple choice

hartnn · Answer

what were the choices for the last one?
−3|2x + 6| = −12

anonymous · Answer

i cant look back at it now. i have new numbers now

hartnn · Answer

ok, one possible reason might be that x=-1 "and" -5 is incorrect.
x cannot take both values at a time.
x=-1 "or" -5 is correct thing to say.
but i doubt both of these would be in your choices.