$\sum _{}{\mathrm{M}}_{\mathrm{A}}={\mathrm{F}}_1(380 \mathrm{mm})+{\mathrm{F}}_2(760 \mathrm{mm})-\mathrm{P}(1,520 \mathrm{mm})=0$

Observe that there are two unknowns in this equation: ${\mathrm{F}}_1$ and ${\mathrm{F}}_2$. While additional equilibrium equations could be written, each new equation would introduce a new unknown. Consequently, this problem cannot be solved using statics alone. This type of problem is known as statically indeterminate.