Question

how many solutions does this eqn have? |3x+7|=0
please explain.

Answer 1

only way for the absolute value of something to be zero is if the expression inside is 0
how many solutions are there to \(3x+7=0\) ?

Answer 2

sorry i wrote the problem wrong. hold on

Answer 3

|3x+7|+2=0

Answer 4

Solve it and see

Answer 5

If you subtract 2 from both sides you get
|3x + 7| = -2

Absolute value means distance and you can have positive distance or no distance, but what you can't have is negative distance.