I have to find a line that splits the area under the graph y=0.00111111x^3-0.1x^2+120 into two equal halves. The line also must pass through x=-30. The graph is shown by the attachment below, in which the line runs from A (30, 0) to B (unknown).

Cubic Graph.png

I have integrated the function to find that the area under the graph is equal to 6075. (sorry I am unsure of how to insert all of the symbols and cannot show working). I understand that the line AB separates the graph into two halves, both with an area of 3037.5. However, I am unsure of how to do this step. I have looked at other resources but they only explain how to find a horizontal or vertical line without intersecting a specific point. If someone could assist in explaining this it would be greatly appreciated. Thanks.

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