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11 votes
11 votes
Solve 4|x + 6| = 16

User Seraph Wedd
by
2.5k points

2 Answers

12 votes
12 votes

Answer:

-10 and -2

Explanation:

First, divide both sides by 4 to get |x+6| = 4
Then, Take the absolute vaule on both sides
x+6= 4 or -4
So, x could be 2 vaules
Your welcome!

User Jregnauld
by
3.0k points
18 votes
18 votes

4 | x + 6 | = 16

Divide both sides by 4.


\bf)/(4)=(16)/(4)


\bf

Absolute value is solved.


\bfx+6

We know either x + 6 = 4 or x + 6 = -4.

x + 6 = 4 (Possibility 1)

x + 6 - 6 = 4 - 6 (Subtract 6 from both sides)

x=−2

x + 6 = -4 (Possibility 2)

x + 6 - 6 = -4 - 6 (Subtract 6 from both sides)

x=-10

Solution:

x=−2 or x=−10


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User Kai Mechel
by
3.2k points