Issolvi w=w+5/512(sin14)

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

Solvi għal w

$$w=\frac{120960947799833865}{51175807810440033227}\approx 0.002363635$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Evaluate trigonometric functions in the problem

$$w = \frac{w + 5}{512} 0.24192189559966773$$

Iddividi kull terminu ta' w+5 b'512 biex tikseb\frac{1}{512}w+\frac{5}{512}.

$$w=\left(\frac{1}{512}w+\frac{5}{512}\right)\times 0.24192189559966773$$

Uża l-propjetà distributtiva biex timmultiplika \frac{1}{512}w+\frac{5}{512} b'0.24192189559966773.

$$w=\frac{1}{512}w\times 0.24192189559966773+\frac{5}{512}\times 0.24192189559966773$$

Ikkonverti n-numru deċimali 0.24192189559966773 fi frazzjoni \frac{24192189559966773}{10000000000}. Naqqas il-frazzjoni \frac{24192189559966773}{10000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 1.

$$w=\frac{1}{512}w\times \frac{24192189559966773}{100000000000000000}+\frac{5}{512}\times 0.24192189559966773$$

Immultiplika \frac{1}{512} b'\frac{24192189559966773}{100000000000000000} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$w=\frac{1\times 24192189559966773}{512\times 100000000000000000}w+\frac{5}{512}\times 0.24192189559966773$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1\times 24192189559966773}{512\times 100000000000000000}.

$$w=\frac{24192189559966773}{51200000000000000000}w+\frac{5}{512}\times 0.24192189559966773$$

Ikkonverti n-numru deċimali 0.24192189559966773 fi frazzjoni \frac{24192189559966773}{10000000000}. Naqqas il-frazzjoni \frac{24192189559966773}{10000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 1.

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

Immultiplika \frac{5}{512} b'\frac{24192189559966773}{100000000000000000} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{5\times 24192189559966773}{512\times 100000000000000000}.

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

Naqqas il-frazzjoni \frac{120960947799833865}{51200000000000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

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

Naqqas \frac{24192189559966773}{51200000000000000000}w miż-żewġ naħat.

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

Ikkombina w u -\frac{24192189559966773}{51200000000000000000}w biex tikseb \frac{51175807810440033227}{51200000000000000000}w.

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

Immultiplika ż-żewġ naħat b'\frac{51200000000000000000}{51175807810440033227}, ir-reċiproku ta' \frac{51175807810440033227}{51200000000000000000}.

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

Immultiplika \frac{24192189559966773}{10240000000000000000} b'\frac{51200000000000000000}{51175807810440033227} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{24192189559966773\times 51200000000000000000}{10240000000000000000\times 51175807810440033227}.

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

Naqqas il-frazzjoni \frac{1238640105470298777600000000000000000}{524040271978905940244480000000000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 10240000000000000000.

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