Question

(3x -14)/2x = 3x - 2

I have absolutely no idea how to do this. Can you please help me understand the steps I need to take to solve this?

Answer 1

First multiply both sides by 2x. This will get rid of the fraction. Can you do this?

Answer 2

Yes, now I have 3x - 14 = 6x^2 - 4x

Answer 3

Next take all the terms on the left hand side to the right hand side (remembering to change signs) to get 6x^2...................................... = 0

Answer 4

So I add 3x, then subtract 14 which leaves me with

0 = 6x^2 - 7x - 14

Answer 5

The rearrangement of terms might be clearer shown as follows:
3x - 14 -3x + 14 = 6x^2 - 4x -3x + 14
0 = 6x^2 - 7x + 14

Answer 6

\[\frac{ 3x-14 }{ 2x } = 3x - 2\]

Answer 7

Cross Multiply :\[3x-14 = 2x ( 3x-2)\]

Answer 8

\[3x - 14 = 6x^2 - 4x\]

Answer 9

Collect Like terms :

\[6x^2 - 4x-3x + 14 =0\]

\[6x^2 - 7x + 14 = 0\]

Answer 10

Nw it is a Quadratic Eq use Quad Formula:

\[x = \frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\]

Answer 11

Hope this Helps:

Answer 12

@JamesR4494 Any Doubts: ?

Answer 13

The next step is to solve the quadratic 6x^2 - 7x + 14 = 0 using the formula:
\[x=\frac{-b \pm \sqrt{(b ^{2}}-4ac)}{2a}\]

Answer 14

a = 6
b = -7
c = 14

Answer 15

I understand everything you guys previously wrote but I don't know how to solve this problem using the quadratic formula, I don't quite understand how to apply it to this problem.

Answer 16

If u Dont knw this Just FActorize the Eq

Answer 17

6x^2 - 7x + 14

Product = 84

Sum = -7

Find Two such Numbers: thhis method..Sucks...)

Answer 18

x+ y = -7

xy =84

Answer 19

Oh my... I made this equation much harder than it actually is... I apologize. I wrote it incorrectly.

The real equation is (3x - 14)/-2 = 3x - 2

This explains alot...

Answer 20

I truly apologize for wasting both of your guy's time. I have solved the equation. Thanks for the help even if it wasn't the right equation it's nice to know that if I'm ever stumped on a question there are helpful members willing to guide me to the solution.