Question

Solve 4|x + 6| = 16

Answer 1

Answer:

-10 and -2

Step-by-step 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!

Answer 2

4 | x + 6 | = 16

Divide both sides by 4.

$\bf{\dfrac{4|x+6|}{4}=\dfrac{16}{4} }$

$\bf{|x+6|=4 }$

Absolute value is solved.

$\bf{|x+6|=4 }$

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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