Question

Determine the number of solutions of 2x2 + 3x = 0.

Answer 1

$\Delta=3^2-4\cdot2\cdot0=9$

$9\ \textgreater \ 0$ so, there are two solutions

or simply by solving

$2x^2+3x=0\\ x(2x+3)=0\\ x=0 \vee x=-\dfrac{3}{2}$