Solve f(x)=3x(2x-10)^50

$$f ( x ) = 3 x ( 2 x - 10 ) ^ { 50 }$$

Evaluate

$$3377699720527872x\left(x-5\right)^{50}$$

Expand

$$3377699720527872x^{51}-844424930131968000x^{50}+103442053941166080000x^{49}-8275364315293286400000x^{48}+486177653523480576000000x^{47}-22364172062080106496000000x^{46}+838656452328003993600000000x^{45}-26357774216022982656000000000x^{44}+708365182055617658880000000000x^{43}-16528520914631078707200000000000x^{42}+338834678749937113497600000000000x^{41}-6160630522726129336320000000000000x^{40}+100110245994299601715200000000000000x^{39}-1463149749147455717376000000000000000x^{38}+19334478828019950551040000000000000000x^{37}-232013745936239406612480000000000000000x^{36}+2537650346177618509824000000000000000000x^{35}-25376503461776185098240000000000000000000x^{34}+232617948399615030067200000000000000000000x^{33}-1958887986523073937408000000000000000000000x^{32}+15181381895553823014912000000000000000000000x^{31}-108438442111098735820800000000000000000000000x^{30}+714707913914059849728000000000000000000000000x^{29}-4350395997737755607040000000000000000000000000x^{28}+24470977487274875289600000000000000000000000000x^{27}-127249082933829351505920000000000000000000000000x^{26}+611774437181871882240000000000000000000000000000x^{25}-2718997498586097254400000000000000000000000000000x^{24}+11167311154907185152000000000000000000000000000000x^{23}-42358766449647943680000000000000000000000000000000x^{22}+148255682573767802880000000000000000000000000000000x^{21}-478244137334734848000000000000000000000000000000000x^{20}+1419787282712494080000000000000000000000000000000000x^{19}-3872147134670438400000000000000000000000000000000000x^{18}+9680367836676096000000000000000000000000000000000000x^{17}-22126555055259648000000000000000000000000000000000000x^{16}+46096989698457600000000000000000000000000000000000000x^{15}-87210521051136000000000000000000000000000000000000000x^{14}+149175891271680000000000000000000000000000000000000000x^{13}-229501371187200000000000000000000000000000000000000000x^{12}+315564385382400000000000000000000000000000000000000000x^{11}-384834616320000000000000000000000000000000000000000000x^{10}+412322803200000000000000000000000000000000000000000000x^{9}-383556096000000000000000000000000000000000000000000000x^{8}+305101440000000000000000000000000000000000000000000000x^{7}-203400960000000000000000000000000000000000000000000000x^{6}+110544000000000000000000000000000000000000000000000000x^{5}-47040000000000000000000000000000000000000000000000000x^{4}+14700000000000000000000000000000000000000000000000000x^{3}-3000000000000000000000000000000000000000000000000000x^{2}+300000000000000000000000000000000000000000000000000x$$