Question

How many solutions does the following equation have?

|4x + 12| = 0

A) No Solution
B) One Solution
C) Two Solutions
D) Infinetly Many Solutions

Answer 1

oh well that is easy: This has one solution

Answer 2

It has two solutions... need me to explain?

Answer 3

Hint: y=|x| as a v-shaped graph, with its vertex at (0,0).

Your |4x + 12| = 0 could be factored: 4|x+3| = 0.
Since 4 never equals 0, focus on solving |x+3|=0. How many solutions would this have? Suggestion: graph y=|x+3|. Start with the graph of y=|x|, and then translate this graph horizontally as appropriate.