Question

How many solutions does the following equations have |6x+12|= 12 |6x+12|= -1 |6x+12|= 0 show steps to sloving. How do you know the number or solutions?

Answer 1

|6x+12|= 12 has 2 solutions --> x = -4 or x = 0

|6x+12|= -1 has No solutions

∣6x+12∣=0 has 1 solution --> x = -2

Step-by-step explanation:

|6x+12|= 12

- Break |6x+12| = 12 down into two equations -

↓

6x + 12 = 12

6x + 12 = −12

- Solve both equations to x -

6x + 12 = 12

6x + 12 = −12

↓

6x = 0

6x = −24

↓

x = 0

x = −4

|6x+12|= -1

The absolute value function is always positive or 0 so false.

∣6x+12∣=0

- Because its 0, we simply just solve the equation -

6x + 12 = 0

↓

6x = -12

↓

x = -2

~That's All Folks~

-Siascon