Question

How many solutions does the following equation have?

|4x + 12| = 0

No solution
One solution
Two solutions
Infinitely many solutions

Answer 1

It is one solution.....

Answer 2

Only one solution because
4 needs to be multiplied by a negative number to cancel out the positive 12 so it can equal 0 and the only number that create the opposite of 12 with a 4 is -3.
4(-3) = -12
-12 + 12 = 0