Question

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 1

no solution ......is the correct answer

Answer 2

It is against the CoC to give out direct answer. Please don't do it ever again.

Answer 3

First, simplify
−4|x + 5| = −16

divide both sides by -4
what do you get ?

Answer 4

-4 divide by negitive 4 is 1 and 16 divided by -4 is 4

Answer 5

yes, you get
1*|x+5|= 4

but 1 times anything is the "anything", so that is just

|x+5|= 4

now you need to "get rid of " the absolute value signs.

Answer 6

to get rid of the | | we create TWO different equations
equation one: drop the | | (that is easy) you get
x+5= 4

equation 2: change the | | into parens, and multiply by -1
-1*(x+5) = 4

can you solve either of these equations ?

Answer 7

i dont think so

Answer 8

let's try
x+5=4

add -5 to both sides
what do you get ?

Answer 9

-1

Answer 10

you should write out the whole equation
x= -1

that is one of the answers.

now let's try
-1*(x+5) = 4

multiply both sides by -1
what do you get (write out the whole equation) ?