Z•(10+4i)=7-9i решитттеее плиз

[latex]z= frac{7-9i}{10+4i} = frac{(7-9i)(10-4i)}{(10+4i)(10-4i)} = frac{70-28i-90i+36i^2}{10^2-(4i)^2} = \ \ = frac{70-118i-36}{100+16} = frac{34-118i}{116} = frac{2*(17-59i)}{2*58} = frac{17-59i}{58} = \ \ = frac{17}{58}- frac{59i}{58} .[/latex]