please do not solve in excel and instead do by hand and show each step.

9. At an effective annual interest rate of i, with i > 0, both of the following annuities have a present value of X: (a) a 20-year annuity-immediate with annual payments of $55. (b) a 30-year annuity-immediate with annual payments that pays 30 year for the first 10 years, $60 per year for the second 10 years, and $90 per year for the final 10 years. Calculate X