Process of finding intersecting points between two functions

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I have to find the intersecting points of these two functions
$$f(x)=e^x-5x+7$$
and
$$g(x)=2x^2+16x+2$$

I know how to do this with two quadratic equations, by putting the two functions equal to each other, but f(x) is confusing me, because i don't know what to do with the ex

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I don't think you can get a "nice" number by solving this analytically. You may need to use root-finding methods such as Newton's method (or just use the "intersect" feature on your graphing calculator).