The solution of a nonlinear equation \( L(y(x)) + N(y(x)) = 0 \), where \(L\) and \(N\) are linear and nonlinear operators, respectively, is represented in the form \[ y =\sum_{n=0}^{\infty} y_{n} . \] The terms \(y_{n}\) can be calculated by recurrent relations using the decomposition \[ N(y)=\sum_{n=0}^{\infty} A_{n}, \] where \(A_{n}\) are the Adomian polynomials. The author proves that this method can be obtained using another analytical method.