Absolute Value Equations

Question

I am trying to determine if an absolute value equation has no, one, or two solutions. Here is a response I received:

Once you have isolated the absolute value isolated on one side of the equal sign, if the quantity on the other side of the equal sign is positive- there are 2 answers. If the quantity is equal to zero-there is one answer. If the absolute value quantity is negative, there will be no solution.

In the equation: -4 | 4u | = 3

If i isolate the absolute value by adding 4 to both sides I have 7 on the other side. Why i am i being told it has no solution? I assumed it would have two solution seeing that 7 is positive.

Answer 1

-4 l4ul = 3

it looks like the -4 is multiplying the absolute value symbol, not being subtracted from it !!

therefore you get l4ul=-3/4

because absolute value can never be negative there are no solutions