Answer:
[tex]6K+P_2\operatorname{\rightarrow}2K_3P.[/tex]Applying the trial and error method: If we balance P first, we put '2' moles beside K3P, so P is balanced on both sides:
[tex]K+P_2\rightarrow2K_3P.[/tex]But K is still unbalanced and now, we have 6 K because 2 x 3 = 6. If we put '6' moles beside K, we will obtain the balanced chemical equation:
[tex]6K+P_2\operatorname{\rightarrow}2K_3P.[/tex]