I need to find the volume of a solid between two curves. However, I am struggling to find the points of intersection of these two curves. I am making them equal to each other but I am not sure how to solve the equation to find the two points. The two curves are:

$\displaystyle

y = 10x - x^2

$

and

$\displaystyle

y = e^x-1

$

Any help is greatly appreciated!