Open Question: Where does h'(x) = 0.14 ?

Consider the graphs below. Both functions have a sharp corner at x=50.

m(x)
https://instruct.math.lsa.umich.edu/webwork2_course_files/ma115-042-f12/tmp/gif/kostakoe-3736-sethomework19prob12image1.png

n(x)
https://instruct.math.lsa.umich.edu/webwork2_course_files/ma115-042-f12/tmp/gif/kostakoe-3736-sethomework19prob12image2.png

Let h(x)=n(m(x)). Find a point x where h'(x)=0.14
x = ????

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