Given that x, 4, x+6 are consecutive terms of a geometric series, find:
(a) the possible values of x
So I got x=2 but part from trying every number to see I don't know of a method to find the possible values. I don't know how many values they want so if there is a method that shows all the possible values that would be better.

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that rearranges to the quadrataic equation
x^2 + 6x - 16 = 0

can you solve that?

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