Solve equations using factorization method:
$2 (x^{2} - 6) = 3 (x - 4)$

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Solution

Step: Factorising the equation:

$2 (x^{2} - 6) = 3 (x - 4)$

$\Rightarrow 2 x^{2} - 12 = 3 x - 12$

$\Rightarrow 2 x^{2} - 3 x = 0$

$\Rightarrow x (2 x - 3) = 0$

$\Rightarrow x = 0 o r 2 x - 3 = 0$

{zero product rule}

$\Rightarrow x = 0 o r x = \frac{3}{2}$

Hence, the required answer is $x = 0 o r x = \frac{3}{2}$

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