The discovery of dynamical chaos is one of the main achievements in the modern science and how to expand its application has important significance to the development of modern science.Many questions in natural science and engineering are transformed into nonlinear equations to be found

Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point.For the first time

a new method to find all solutions based on utilizing anti-control of chaos in rigid body motion to obtain locate initial points to find all solutions of the nonlinear questions was proposed.The range of chaotic variables is bigger than other methods and the chaotic variables are not emanative

so the computing time is less than other.The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.