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=-(3)/(2)`