Solve $3 x^{2} + 13 x + 10 = 0$ .

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Solution

The given equation is $3 x^{2} + 13 x + 10 = 0$
$\Rightarrow 3 x^{2} + 10 x + 3 x + 10 = 0 \Rightarrow x (3 x + 10) + 1 (3 x + 10) = 0 \Rightarrow (x + 1) (3 x + 10) = 0 \Rightarrow x = - 1, \frac{- 10}{3}$
Hence $x = - 1, \frac{- 10}{3}$ is the correct answer.

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