Lutasin ang w=w+5/512(sin14)

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

I-solve ang w

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

Mga Hakbang sa Pagso-solve ng Linear Equation

Evaluate trigonometric functions in the problem

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

Hati-hatiin ang bawat termino ng w+5 sa 512 para makuha ang \frac{1}{512}w+\frac{5}{512}.

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

Gamitin ang distributive property para i-multiply ang \frac{1}{512}w+\frac{5}{512} gamit ang 0.24192189559966773.

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

I-convert ang decimal number na 0.24192189559966773 sa fraction na \frac{24192189559966773}{10000000000}. Bawasan ang fraction \frac{24192189559966773}{10000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 1.

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

I-multiply ang \frac{1}{512} sa \frac{24192189559966773}{100000000000000000} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

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

Gawin ang mga multiplication sa fraction na \frac{1\times 24192189559966773}{512\times 100000000000000000}.

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

I-convert ang decimal number na 0.24192189559966773 sa fraction na \frac{24192189559966773}{10000000000}. Bawasan ang fraction \frac{24192189559966773}{10000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 1.

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

I-multiply ang \frac{5}{512} sa \frac{24192189559966773}{100000000000000000} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

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

Gawin ang mga multiplication sa fraction na \frac{5\times 24192189559966773}{512\times 100000000000000000}.

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

Bawasan ang fraction \frac{120960947799833865}{51200000000000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 5.

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

I-subtract ang \frac{24192189559966773}{51200000000000000000}w mula sa magkabilang dulo.

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

Pagsamahin ang w at -\frac{24192189559966773}{51200000000000000000}w para makuha ang \frac{51175807810440033227}{51200000000000000000}w.

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

I-multiply ang parehong equation sa \frac{51200000000000000000}{51175807810440033227}, ang reciprocal ng \frac{51175807810440033227}{51200000000000000000}.

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

I-multiply ang \frac{24192189559966773}{10240000000000000000} sa \frac{51200000000000000000}{51175807810440033227} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

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

Gawin ang mga multiplication sa fraction na \frac{24192189559966773\times 51200000000000000000}{10240000000000000000\times 51175807810440033227}.

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

Bawasan ang fraction \frac{1238640105470298777600000000000000000}{524040271978905940244480000000000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 10240000000000000000.

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