Create equal areas with the intersection of a function with the first and fourth quadrants.

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Here's a question I wasn't able to figure out in class. The first part was easy enough, but the second part stumped even my teacher as well.

"Consider the first- and fourth quadrant regions between the x-axis and f(x)=x(x-1)(x-a). What value of a makes the areas equal?(a=2)

Then find b which does it(make the areas equal) for g(x)=x(x-1)(x-b)+1"