Question

How do you solve `\frac { 1} { 4x } + \frac { 1} { 2x } = \frac { x } { 3}`?

Answer 1

`x=+-3/2`

Explanation:

If
`color(white)("XXX")1/(4x)+1/(2x)=x/3` ...note this is only meaningful if `x!=0`
then
after multiplying both sides by `4x`
`color(white)("XXX")1+2=(4x^2)/3`

`color(white)("XXX")3=4/3x^2`

`color(white)("XXX")x^2=3xx3/4=9/4`

`color(white)("XXX")x=+-3/2`