Question

Factorise the equation please
$10(3x + \frac{1}{x} )^{2} - (3x + \frac{1}{x} ) - 3$
fast plzzzz help me

Answer 1

$let \: 3x + \frac{1}{x} = y \\ then \\ 10 {y}^{2} - y - 3 = 0 \\ factoriing \\ 10 {y}^{2} - 6y + 5y - 3 = 0 \\ 2y(5y - 3) + 1(5y - 3) = 0 \\ (2y + 1)(5y - 1) = 0$