Question

x/2x+8=3/x+2...SOLVE FOR X

Answer 1

\[\frac{ x }{ 2x + 8 } = \frac{ 3 }{ x + 2 }\]

Answer 2

The fractions make this a bit awkward to solve, so what do you think would be your first step?

Answer 3

Well you could start by removing the denominators so that you don't have to divide.

Answer 4

Cross multiplication is a pretty simple way to do this.

Basically do:\[x \times (x + 2) = ?\]
and
\[3 \times (2x + 8)\]

Answer 5

@bracefacejah Does that make sense from there?

Answer 6

yes thnks

Answer 7

do i add after that?

Answer 8

After this you should get: \[x^2 + 2x = 6x + 24\]

Answer 9

Looking at this you know you're going to have to use the quadratic formula to solve for this, because of the x^2, so basically you want to create ax + by + c = 0, so get all the terms to the left side.

Answer 10

Subtract 6x from both sides, then 24 from both sides, you get
\[x^2 - 4x - 24 = 0\]

Answer 11

If you don't know the quadratic formula, this is it:
\[x = \frac{ -b \pm \sqrt (b^2 - 4ac) }{ 2a }\]

Where a quadratic equation looks like,

ax^2 + by + c = 0

So from x^2 - 4x - 24 we can grab the coefficients,

a = 1,
b = -4
c = -24

Then you just input these into the formula and solve for x.

Answer 12

Does that make sense so far?

Answer 13

yes

Answer 14

\[x = \frac{ -(-4) \pm \sqrt(-4)^2 - 4(1)(-24) }{ 2(1) }\]

Answer 15

i got my answer... -5

Answer 16

Are you sure?

Answer 17

yes

Answer 18

You can get very different answers based off of how you look at the fractions.

Answer 19

i checked my answer and its right

Answer 20

Like is it (x/2x) +8=(3/x)+2 or x/2x+8=3/x+2

Answer 21

no it was -5

Answer 22

Frankly, I don't see how you get 5 from this. I double checked it with Wolfram. Are you sure you gave me the right problem lol?

Answer 23

yes i gave the right question and I put it into the system I'm getting questions on and it says its right

Answer 24

Oh okay. It may just be a lesson glitch or something. If you input x/(2x+8)=3/(x+2) into Wolfram, you definitely don't get -5