Question

Solve for x: −3|2x + 6| = −12 (1 point)

x = 1 and x = 5
x = −1 and x = −5
x = −9 and x = 3
No solution

Can someone give an explanation for this problem please? Thank you!!!;)

Answer 1

Option 2

The solution for - 3 | 2x + 6 | = - 12 is x = −1 and x = −5

Solution:

Given, equation is -3 | 2x + 6 | = - 12

We have to solve for the value of x and choose the correct options from given set of options.

Now, let us take the equation

- 3 | 2x + 6 | = - 12

3 | 2x + 6 | = 12

| 2x + 6 | = 4

2x + 6 = ± 4 [ since mod converts to ± by shifting to other side of the equation]

2x + 6 = 4 or 2x + 6 = -4

2x = 4 – 6 or 2x = - 4 – 6

2x = -2 or 2x = - 10

x = -1 or x = -5

Hence, values of x are -1 and -5, so option 2 is correct