Question: Simplify an equation

I am new to Maple and I have not been able to figure out how to do something that should be very simple.

Using Maple to derive the conditions of a problem, I arrive at the following equation:

3*a(-1/3*b/a)^2+2*b(-1/3*b/a)+c = 0

By hand, I can simplify this equation, but I cannot figure out how to Maple to duplicate my result.

What steps do I need to go through to get the equation in the simplified form:

1/3*(3*a*c-b^2)/a = 0

Thanks.

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