I have a curve, x^3 - 14x^2 + 59x -70 , and I need to run this line through it, mx - 70 , to make the area above the curve enclosed by the line equal to HALF of the area below the line enclosed by the curve..... So, I need to find the gradient (m) of the line to run through it for this to be possible.

So far I have derived that the x intersects are :

x=0

x= 7 - square root of m-10

x= 7 + square root of m-10

WHAT NOW