Find the zeros of $(x + 3) (3 x - 2)^{5} (7 - x)^{3} (5 x + 8)^{2}$ .

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Solution

$(x + 3) (3 x - 2) (7 - x) (5 x + 8) = 0 ⟹ x + 3 = 0 x = - 3 ⟹ 3 x - 2 = 0 x = \frac{2}{3} ⟹ 7 - x = 0 x = 7 ⟹ 5 x + 8 = 0 x = \frac{- 8}{5}$

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