Question

Solve `x = (3x + 1)/(4x)`

Answer 1

`x = (3x + 1)/(4x)`

`=> 4x^2 = 3x + 1`

`=> 4x^2 -  3x - 1 = 0`

`=> 4x^2 - 4x + x - 1  = 0`

`=> 4x(x - 1) + 1(x - 1) = 0`

=> (x - 1)(4x + 1) = 0

Since x - 1 = 0 or  4x + 1 = 0

then x = 1 or x = `(-1)/4`