Question

Solve the following quadratic equation by factorization.
$a(x^2+1)-x(a^2+1)=0$

Answer 1

$a{x}^2-(a^2+1)x+a=0$
$a{x}^2-a^{2}x-x+a=0$
$ax(x-a)-(x-a)=0$
$x=\frac{1}{a},a$