56.3k views
1 vote
Solve for x: −4|x + 5| = −16

User Hasib
by
6.4k points

2 Answers

3 votes

-4|x+5|=-16 \\ |x+5|=(-16)/(-4) \\ |x+5|=4 \\ x+5=4 \ \lor \ x+5=-4 \\ x=4-5 \ \lor \ x=-4-5 \\ x=-1 \ \lor \ x=-9 \\ \boxed{x=-1 \hbox{ or } x=-9}
User Nimit Parekh
by
7.4k points
2 votes

Answer:


x_(1) = -1 and
x_(2) = -9

Explanation:

1. Write the equation to solve:

−4|x + 5| = −16

2. Pass the -4 to divide the -16

|x + 5| =
(-16)/(-4)

|x + 5| = 4

3. As you have an absolute value you should solve to equations, that is:

x+5 = 4 (Eq.1)

-x-5 = 4 (Eq. 2)

4. Solve Eq. 1:

x+5 = 4

x = 4-5

x = -1

5. Solve Eq. 2:

-x-5 = 4

x = -5 - 4

x = -9

Therefore the x values are:
x_(1) = -1 and
x_(2) = -9

User Andri Kurnia
by
7.2k points