How to solve -5|x+1|=-10?

kreiranihqlz

kreiranihqlz

Answered question

2023-03-02

How to solve - 5 | x + 1 | = - 10 ?

Answer & Explanation

Edward Hunter

Edward Hunter

Beginner2023-03-03Added 5 answers

The first step is to separate the absolute value elements by dividing the two sides of the equation proportionally by - 5 :
- 5 | x + 1 | - 5 = - 10 - 5
- 5 | x + 1 | - 5 = 2
| x + 1 | = 2
The absolute value function transforms any negative or positive number into its positive form. Therefore, to solve this problem we need to solve the term inside the absolute value for both the positive and negative form of what it is equation to. There will be two solutions as a result.
Solution 1)
x + 1 = 2
x + 1 - 1 = 2 - 1
x + 0 = 1
x = 1
Solution 2)
x + 1 = - 2
x + 1 - 1 = - 2 - 1
x + 0 = - 3
x = - 3

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