Let 2x + 1 = λ(3x + 2) + μ
2x + 1 = 3xλ + 2λ + μ
comparing coefficients we get
3λ = 2 ; 2λ + μ = 1
⇒
Replacing 2x + 1 by λ(3x + 2) + μ in the given equation we get