Solve 4/5x + 4/5 = 16/x+12 Put these numbers in for the x:  x= -12 or x= 16, x= -3/5, x= 3, x= 3 or x= 4

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The notation is ambiguous.

 If you meant `4/(5x)+4/5=16/(x+12)` then we can multiply both sides of the equation by `5x(x+12)` which is the least common denominator. Then we get:

`4(x+12)+4x(x+12)=16(5x)`

`4x+48+4x^2+48x=80x`

`4x^2-28x+48=0`

`4(x^2-7x+12)=0`

`4(x-4)(x-3)=0`

The solutions would be x=4 or x=3.

 

Approved by eNotes Editorial Team