Riješi w=w+5/512(sin14)

$$w = \frac { w + 5 } { 512 } ( \sin 14 )$$

Izračunaj w

$$w=\frac{120960947799833865}{51175807810440033227}\approx 0,002363635$$

Koraci rješavanja linearne jednadžbe

Evaluate trigonometric functions in the problem

$$w = \frac{w + 5}{512} 0,24192189559966773$$

Podijelite svaki izraz jednadžbe w+5 s 512 da biste dobili \frac{1}{512}w+\frac{5}{512}.

$$w=\left(\frac{1}{512}w+\frac{5}{512}\right)\times 0,24192189559966773$$

Koristite svojstvo distributivnosti da biste pomnožili \frac{1}{512}w+\frac{5}{512} s 0,24192189559966773.

$$w=\frac{1}{512}w\times 0,24192189559966773+\frac{5}{512}\times 0,24192189559966773$$

Pretvorite decimalni broj 0,24192189559966773 u razlomak \frac{24192189559966773}{10000000000}. Skratite razlomak \frac{24192189559966773}{10000000000} na najmanje vrijednosti tako da izlučite i poništite 1.

$$w=\frac{1}{512}w\times \frac{24192189559966773}{100000000000000000}+\frac{5}{512}\times 0,24192189559966773$$

Pomnožite \frac{1}{512} i \frac{24192189559966773}{100000000000000000} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.

$$w=\frac{1\times 24192189559966773}{512\times 100000000000000000}w+\frac{5}{512}\times 0,24192189559966773$$

Izvedite množenje u razlomku \frac{1\times 24192189559966773}{512\times 100000000000000000}.

$$w=\frac{24192189559966773}{51200000000000000000}w+\frac{5}{512}\times 0,24192189559966773$$

Pretvorite decimalni broj 0,24192189559966773 u razlomak \frac{24192189559966773}{10000000000}. Skratite razlomak \frac{24192189559966773}{10000000000} na najmanje vrijednosti tako da izlučite i poništite 1.

$$w=\frac{24192189559966773}{51200000000000000000}w+\frac{5}{512}\times \frac{24192189559966773}{100000000000000000}$$

Pomnožite \frac{5}{512} i \frac{24192189559966773}{100000000000000000} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.

$$w=\frac{24192189559966773}{51200000000000000000}w+\frac{5\times 24192189559966773}{512\times 100000000000000000}$$

Izvedite množenje u razlomku \frac{5\times 24192189559966773}{512\times 100000000000000000}.

$$w=\frac{24192189559966773}{51200000000000000000}w+\frac{120960947799833865}{51200000000000000000}$$

Skratite razlomak \frac{120960947799833865}{51200000000000000000} na najmanje vrijednosti tako da izlučite i poništite 5.

$$w=\frac{24192189559966773}{51200000000000000000}w+\frac{24192189559966773}{10240000000000000000}$$

Oduzmite \frac{24192189559966773}{51200000000000000000}w od obiju strana.

$$w-\frac{24192189559966773}{51200000000000000000}w=\frac{24192189559966773}{10240000000000000000}$$

Kombinirajte w i -\frac{24192189559966773}{51200000000000000000}w da biste dobili \frac{51175807810440033227}{51200000000000000000}w.

$$\frac{51175807810440033227}{51200000000000000000}w=\frac{24192189559966773}{10240000000000000000}$$

Pomnožite obje strane s \frac{51200000000000000000}{51175807810440033227}, recipročnim izrazom od \frac{51175807810440033227}{51200000000000000000}.

$$w=\frac{24192189559966773}{10240000000000000000}\times \frac{51200000000000000000}{51175807810440033227}$$

Pomnožite \frac{24192189559966773}{10240000000000000000} i \frac{51200000000000000000}{51175807810440033227} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.

$$w=\frac{24192189559966773\times 51200000000000000000}{10240000000000000000\times 51175807810440033227}$$

Izvedite množenje u razlomku \frac{24192189559966773\times 51200000000000000000}{10240000000000000000\times 51175807810440033227}.

$$w=\frac{1238640105470298777600000000000000000}{524040271978905940244480000000000000000}$$

Skratite razlomak \frac{1238640105470298777600000000000000000}{524040271978905940244480000000000000000} na najmanje vrijednosti tako da izlučite i poništite 10240000000000000000.

$$w=\frac{120960947799833865}{51175807810440033227}$$