Question

Evaluate :
$\frac{x^2-(x+1)(x+2)}{5x+1}=6$

Answer 1

$\frac{x^2-(x+1)(x+2)}{5x+1}=6$

$\Rightarrow \frac{x^2-(x^2+3x-2)}{5x+1}=6$

$\Rightarrow x^2-x^2-3x+2=6(5x+1)$

$\Rightarrow -3x+2=30x+6$

$\Rightarrow -3x-30x=6-2$

$\Rightarrow -33x=4$

$\therefore x=\frac{-4}{33}$