Question

 Solving by factoring :2x²+9x=0

Answer 1

$2x^2+9x=0\\\\2x(x+4.5)=0\iff2x=0\ or\ x+4.5=0\\\\\boxed{x=0\ or\ x=-4.5}$

Answer 2

$2x^2+9x=0\\ x(2x+9)=0\\ x=0 \vee x=-\frac{9}{2}$