Question

Solve each of the following equations by factorization:  

`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`