Solve the quadratic equations by factorization:-
$3 x^{2} - 5 x - 12 = 0$

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Solution

Consider the equation,

$3 x^{2} - 5 x - 12 = 0$
$3 x^{2} - 9 x^{2} + 4 x - 12 = 0$
$3 x (x - 3) + 4 (x - 3) = 0$
$(x - 3) (3 x + 4) = 0$
When,
$x - 3 = 0$
$x = 3$
When,
$3 x + 4 = 0$
$x = \frac{4}{3}$

Hence, this is the answer.

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