Question

How to solve this problem?

Answer 1

for math problem the good this to get answers and the steps is to download photomath on you phone of tablet

Answer 2

I'm not sure how you should do it, if this isn't how it is suppose to look like then let me know.

`(9)/(4x) + (x + 3)/(4x) =(3)/(2x)`

Because the denominators are the same(4x), you can add the 2 fractions together:

`(9)/(4x) + (x + 3)/(4x) =(3)/(2x)`

`(9+x+3)/(4x) =(3)/(2x)`

`(12 +x)/(4x) =(3)/(2x)`

Now you can cross multiply, which is just multiplying 2x on both sides, and multiplying 4x on both sides

`(2x)(12+x)/(4x) =(3)/(2x) (2x)`

`(4x)(2x(12+x))/(4x) =3(4x)`

2x(12 + x) = 3(4x) Multiply 2x into (12 + x), and multiply 3 into (4x)

24x + 2x² = 12x Subtract 12x on both sides

12x + 2x² = 0 Factor out 2x

2x (6 + x) = 0

2x = 0 Divide 2 on both sides

x = 0

6 + x = 0 Subtract 6 on both sides

x = -6

Or:

`(9)/(4x) +(x + 3)/(4x) =(3)/(2x)`

`(12 + x)/(4x) =(3)/(2x)` Subtract 3/2x on both sides

`(12 +x)/(4x) -(3)/(2x) =0` Make the denominators the same

`(12+x)/(4x) -(6)/(4x) =0`

`(6+x)/(4x) = 0` Multiply 4x on both sides

6 + x = 0 Subtract 6 on both sides

x = -6