Question

solve for x
6/x +14 = 4/3x

Answer 1

6/x + 14 = 4/3x
Let 1/x=y
so eq becomes 6y+14=4y/3
6y-4y/3=-14
14y/3=-14
y=-3
put 1/x=-3
so x=-1/3

Answer 2

I got \[(21 + \sqrt{513}) / 4 \approx 10.9123\]

Answer 3

i dont think this (21 + sqrt(513))/4 is the solution of this problem

Answer 4

well I was looking at the problem as 6/x + 14 = (4/3)x

Answer 5

6/x+14=4/3x
18+42x=4x
42x-4x=-18
38x=-18
x=-18/38

x=-9/18

Answer 6

no -9/18 is also not the solution

Answer 7

right approach is by taking 1/x=y
still if u want to solve it the way agradecompetent has done
then
6/x+14=4/3x
2nd step is wrong, it will be
18x+42x^2=4x
and when u solve it further u'll get x=-1/3

Answer 8

@ agradecompetent : hope u agree with me