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

Solution:

A modulus function gives the magnitude of a number irrespective of its sign.

It is also called the absolute value function.

In mathematics, the modulus of a real number x is given by the modulus function, denoted by |x|. 

Given equation |4x + 12| = 0

Case 1: if x is positive then |4x + 12| = 0 becomes 4x + 12 = 0

4x = -12

x = -3

Case 2: if x is negative then |4x + 12| = 0 becomes - (4x+12) = 0

-4x = 12

x=-3

Therefore, it has only one solution

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

Summary:

The equation |4x + 12| = 0 has only 1 solution that is x = -3.