Question

Solve the following quadratic equation by factorization method.
$x^2+12x+35=0$

Answer 1

$x^2+12x+35=0$
$\Rightarrow x^2+7x+5x+35=0$
$\Rightarrow x(x+7)+5(x+7)=0$
$\Rightarrow (x+7)(x+5)=0$
$\therefore \begin{array}{c}x+7=0\Rightarrow x=-7\\ x+5=0\Rightarrow x=-5\end{array}\}$