-3|4x-9|=24?????? how do you solve this?

Question

im totally confused with this, the math problem is -3|4x-9|=24...i know how to do the problem, im just not sure how you get rid of the three. are you supposed to add it to both sides...or are you supposed to divide the 24 by neg, three???

Answer 1

-3|4x-9|=24 divide it by -3 on both sides u get

|4x-9| = -8

4x - 9 = 8 or 4x - 9 = -8

x = 17/4 or x = 1/4

Answer 2

Question reads as :-

- 3 | 4x - 9 | = 24

| 4x - 9 | = - 8

But Modulus cannot be - ve ?????

Answer 3

hey,

This problem doesnt have a solution because any value x will give a positive value for the absolute value. A negative number times any positive number is always negative, there fore the problem does not have a solution.

Answer 4

you can start by saying there's no solution...

why?

divide both sides by -3 to give:

|4x - 9| = -8

but... the absolute value is always positive, so there is no way that it can be negative... no solution

you manipulate an equation by "doing the opposite", but make sure you do it to both sides to keep it balanced

if you're multiplying by -3, you can get rid of it by dividing both sides by -3

if you're adding 3, you get rid of it by subtracting 3 from both sides

Answer 5

EDIT: My bad, no solution.