Question

Factorise: $7p^2-5p=2$.

Answer 1

$7p^2-5p-2=0$

$7p^2-7p+2p-2=0$

$7p(p-1)+2(p-1)=0$

$\Rightarrow 7p+2=0,p-1=0$

$\Rightarrow 7p=-2,p=1$

$\Rightarrow p=\frac{-2}{7},1$