Question

Find the roots of the following quadratic equations by factorization:
$2x^2+x-6=0$

Answer 1

According to question,

$2x^2+x-6=0$

$⟹2x^2+4x-3x-6=0$

$⟹2x(x+2)-3(x+2)=0$

$⟹(2x-3)(x+2)=0$

$⟹x=\frac{3}{2}$ and $x=-2$