How many solutions does the following equation have? |6x + 12| = -18

Solution:

|6x + 12| = -18 can be expanded under two cases:

Case I:

When 6x + 12 < 0 then,

-(6x + 12) = - 18

-6x - 12 = -18

6x = 18 - 12

6x = 6

x = 1

Case II:

When 6x + 12 > 0 then,

6x + 12 = - 18

6x = -12 - 18

6x = -30

x = -5

Hence the solutions to the given equation are x = 1 and x = -5

---

How many solutions does the following equation have? |6x + 12| = -18

Summary:

The equation |6x + 12| = -18 has two solutions x = 1 and x = -5