# 200 followers question

Algebra Level 2

$\large \alpha + \beta + \gamma + \delta = \alpha^7 + \beta^7 + \gamma^7 + \delta^7 = 0$

Suppose $$\alpha, \beta, \gamma$$ and $$\delta$$ are real numbers satisfying the equation above, find $$\alpha(\alpha + \beta)(\alpha + \gamma)(\alpha + \delta)$$.

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