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To solve a problem using fixed point iteration, first, you need to express the given equation in the form ( x = g(x) ), where ( g(x) ) is a continuous function. Choose an initial guess ( x_0 ) and iteratively compute ( x_{n+1} = g(x_n) ) until the values converge to a fixed point within a desired tolerance. It's essential to ensure that ( g(x) ) is a contraction mapping in the vicinity of the fixed point for the method to converge. Monitor the convergence by checking the difference between successive iterations or the function value.

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