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I have this equation:

I have a set of many v, r, g, b, and a values (v is either 0 or 1, a is a known constant, r g b vary between 0 and 1), and I want to find the best fit values for G, B, and C.

Is this possible? I don't know much about linear equations but I don't think this is one. Can anybody recommend any methods for solving these?

Thanks!

J