Question

PLEASE EXPLAIN: In this equation the variable z has two possible value is -2. What is the other possible value of z?
-4|4z+2|=-24

Answer 1

You can solve this problem by setting 4z+2 = -6 and 4z+2 = 6

Answer 2

yes, technically, to get rid of a "modulus", you have to square it

Answer 3

\[
x^2=y\\
\implies |x|=\sqrt{y}
\]

Answer 4

@wikiemol what would be the next step. To subtract two from both sides?

Answer 5

so the other answer to z would be 1? correct? @wikiemol

Answer 6

for the first equation:
4z=-6-2
4z=-8
z=-2

for the second equation
4z=6-2
4z=4
z=1