Use Vieta's formulas:
[tex]ax^2+bx+c=0\\\\x_1\cdot x_2=\dfrac{c}{a}[/tex]
[tex]x_1;x_2[/tex]-the roots
We have
[tex]5-2m-3m^2=0\to a=-3;\ b=-2;\ c=5[/tex]
put the values of c and a to the expression:
[tex]m_1\cdot m_2=\dfrac{5}{-3}=-\dfrac{5}{3}[/tex]
