How many solutions does the following equation have: 4x + 12 = 0?

To solve the equation 4x + 12 = 0, we first need to isolate the variable x.

1. Subtract 12 from both sides:

4x = -12

2. Next, divide both sides by 4:

x = -3

This calculation shows that there is only one unique solution to the equation: x = -3.

In conclusion, the equation 4x + 12 = 0 has one solution where x is equal to -3.