show steps do not use excel. I need to understand the process behind this.

A house loan of 200,000 is to be repaid with monthly payments of size X paid at the end of each month over a period of 30 years. The interest on the loan accumulates at a nominal annual rate of interest of 6% compounded monthly. Determine the amount of the monthly payments, X (round to nearest $0.01).. Suppose that in addition to the monthly payment of size X, the borrower pays an additional $100 per month starting with the first payment. i.e. they pay a total of X + $100 per month. How many payments will they need to make to pay off the loan (n will not be a whole number)