Solve the following quadratic equation by factorization :
$3 x^{2} + 11 x + 10 = 0$

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Solution

$3 x^{2} + 11 x + 10 = 0$
$\Rightarrow$ $3 x^{2} + 6 x + 5 x + 10 = 0$
$\Rightarrow$ $3 x (x + 2) + 5 (x + 2) = 0$
$\Rightarrow$ $(x + 2) (3 x + 5) = 0$
$\Rightarrow$ $x + 2 = 0$ and $3 x + 5 = 0$
$∴$ $x = - 2, \frac{- 5}{3}$

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