Question

How do you solve `(x-2)/(x+2)=3/x`?

Answer 1

`x=6`
`x=-1`

Explanation:

`(x-2)/(x+2)=3/x`
or
`x(x-2)=3(x+2)`
or
`x^2-2x=3x+6`
or
`x^2-2x-3x-6=0`
or
`x^2-5x-6=0`
or
`x^2-6x+x-6=0`
or
`x(x-6)+1(x-6)=0`
or
`(x-6)(x+1)=0`
or
`x-6=0`
or
`x=6`---------------Ans `1`
or
`x=1=0`
or
`x=-1`----------------Ans `2`