what are the solutions of |x + 2| - 8 = 0
To solve the equation |x + 2| - 8 = 0, we first isolate the absolute value term by adding 8 to both sides of the equation:
|x + 2| = 8
Now, we have two cases to consider when dealing with absolute value equations:
Case 1: x + 2 = 8
Solving for x in this case gives:
x = 8 - 2
x = 6
Case 2: x + 2 = -8
Solving for x in this case gives:
x = -8 - 2
x = -10
Therefore, the solutions to the equation |x + 2| - 8 = 0 are x = 6 and x = -10.