This is not homework, I am not enrolled at any school. I am trying to brush up on my Math skills and I have come accross a problem that I should know how to work out.

The equation is e^x - (10/7)x - 1 = 0

Using Newton’s method I have detemrined that the two solutions are 0 and 0.675471592932108.

How can I get that by manipulating the equation?