Solve 0 = |6x + 3| - 15. Write the
lesser value first.
To solve this equation, we need to isolate the absolute value term first.
0 = |6x + 3| - 15
Add 15 to both sides:
15 = |6x + 3|
Now, we have two cases to consider:
1. 6x + 3 >= 0, so |6x + 3| = 6x + 3
2. 6x + 3 < 0, so |6x + 3| = -(6x + 3) = -6x - 3
Case 1:
15 = 6x + 3
12 = 6x
x = 2
Case 2:
15 = -6x - 3
18 = -6x
x = -3
Since we need to write the lesser value first, the solution is x = -3, 2.