Solve:
$5 x^{2} - 22 x - 15 = 0$

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Solution

By using middle term split method,
$5 x^{2} - 22 x - 15 = 0$
$\Rightarrow 5 x^{2} - 25 x + 3 x - 15 = 0$
$\Rightarrow 5 x (x - 5) + 3 (x - 5) = 0$
$\Rightarrow (x - 5) (5 x + 3) = 0$
Either $x - 5 = 0 \Rightarrow x = 5$ or $5 x + 3 = 0 \Rightarrow x = - \frac{3}{5}$

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