Let f(x)=6x2+3x−5f(x) = 6x^2 + 3x - 5 and g(x)=α(2x+3)(x−7)g(x) = \alpha(2x + 3)(x - 7) for some real number α\alpha. If (f−g)(f - g) is linear, then what is α\alpha?

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