Solve the polynomial equation by factoring

Question

18x^3 -15x^2 - 9x =0

I got as far as
3x(6x^2 - 5x - 3) = 0

Thanks

Answer 1

if it seems hard to factor, check the discriminant: b^2-4ac
In this case, that is 5^2 - 4(6)(-3) = 97
That is not a perfect square, so you cannot factor it with rational coefficients.
Run it through the quadratic formula to confirm.