x खातीर सोडोवचें
x = -\frac{950}{17} = -55\frac{15}{17} \approx -55.882352941
x=0
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वांटचें
क्लिपबोर्डाचेर नक्कल केलां
2000\left(1+\frac{2x}{100}\right)\times 25\times 20\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
100 वरवीं समिकरणाच्या दोनूय कुशींक गुणाकार करचो.
2000\left(1+\frac{1}{50}x\right)\times 25\times 20\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{1}{50}x मेळोवंक 2x क 100 न भाग लावचो.
50000\left(1+\frac{1}{50}x\right)\times 20\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
50000 मेळोवंक 2000 आनी 25 गुणचें.
1000000\left(1+\frac{1}{50}x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1000000 मेळोवंक 50000 आनी 20 गुणचें.
\left(1000000+1000000\times \frac{1}{50}x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1+\frac{1}{50}x न 1000000 गुणपाक विभाजक विशमाचो वापर करचो.
\left(1000000+\frac{1000000}{50}x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{1000000}{50} मेळोवंक 1000000 आनी \frac{1}{50} गुणचें.
\left(1000000+20000x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
20000 मेळोवंक 1000000 क 50 न भाग लावचो.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1000000+20000xच्या प्रत्येकी टर्माक 1-\frac{\frac{3x}{10}}{100} च्या प्रत्येकी टर्मान गुणाकार करून वितरक गुणधर्म लागू करचो.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{3}{50}x\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{3}{50}x मेळोवंक 6x क 100 न भाग लावचो.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+2000\left(1+\frac{3}{50}x\right)\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
2000 मेळोवंक 500 आनी 4 गुणचें.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(1+\frac{3}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
40000 मेळोवंक 2000 आनी 20 गुणचें.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+40000\times \frac{3}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1+\frac{3}{50}x न 40000 गुणपाक विभाजक विशमाचो वापर करचो.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+\frac{40000\times 3}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
एकोडो अपूर्णांक म्हूण 40000\times \frac{3}{50} स्पश्ट करचें.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+\frac{120000}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
120000 मेळोवंक 40000 आनी 3 गुणचें.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+2400x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
2400 मेळोवंक 120000 क 50 न भाग लावचो.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
40000+2400xच्या प्रत्येकी टर्माक 1-\frac{\frac{x}{4}}{100} च्या प्रत्येकी टर्मान गुणाकार करून वितरक गुणधर्म लागू करचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1040000 मेळोवंक 1000000 आनी 40000 ची बेरीज करची.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
22400x मेळोवंक 20000x आनी 2400x एकठांय करचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{1}{50}x\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{1}{50}x मेळोवंक 2x क 100 न भाग लावचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500\left(1+\frac{1}{50}x\right)+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
500 मेळोवंक 20 आनी 25 गुणचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+500\times \frac{1}{50}x+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1+\frac{1}{50}x न 500 गुणपाक विभाजक विशमाचो वापर करचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+\frac{500}{50}x+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{500}{50} मेळोवंक 500 आनी \frac{1}{50} गुणचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
10 मेळोवंक 500 क 50 न भाग लावचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+5\left(1+\frac{3}{50}x\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{3}{50}x मेळोवंक 6x क 100 न भाग लावचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20\left(1+\frac{3}{50}x\right)\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
20 मेळोवंक 5 आनी 4 गुणचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+20\times \frac{3}{50}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1+\frac{3}{50}x न 20 गुणपाक विभाजक विशमाचो वापर करचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+\frac{20\times 3}{50}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
एकोडो अपूर्णांक म्हूण 20\times \frac{3}{50} स्पश्ट करचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+\frac{60}{50}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
60 मेळोवंक 20 आनी 3 गुणचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+\frac{6}{5}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
10 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{60}{50} उणो करचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(520+10x+\frac{6}{5}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
520 मेळोवंक 500 आनी 20 ची बेरीज करची.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(520+\frac{56}{5}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{56}{5}x मेळोवंक 10x आनी \frac{6}{5}x एकठांय करचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=2000\left(520+\frac{56}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)
2000 मेळोवंक 100 आनी 20 गुणचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+2000\times \frac{56}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)
520+\frac{56}{5}x न 2000 गुणपाक विभाजक विशमाचो वापर करचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+\frac{2000\times 56}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)
एकोडो अपूर्णांक म्हूण 2000\times \frac{56}{5} स्पश्ट करचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+\frac{112000}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)
112000 मेळोवंक 2000 आनी 56 गुणचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+22400x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)
22400 मेळोवंक 112000 क 5 न भाग लावचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=1040000+1040000\left(-\frac{\frac{5x}{18}}{100}\right)+22400x+22400x\left(-\frac{\frac{5x}{18}}{100}\right)
1040000+22400xच्या प्रत्येकी टर्माक 1-\frac{\frac{5x}{18}}{100} च्या प्रत्येकी टर्मान गुणाकार करून वितरक गुणधर्म लागू करचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000=1040000\left(-\frac{\frac{5x}{18}}{100}\right)+22400x+22400x\left(-\frac{\frac{5x}{18}}{100}\right)
दोनूय कुशींतल्यान 1040000 वजा करचें.
1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=1040000\left(-\frac{\frac{5x}{18}}{100}\right)+22400x+22400x\left(-\frac{\frac{5x}{18}}{100}\right)
0 मेळोवंक 1040000 आनी 1040000 वजा करचे.
1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)=22400x+22400x\left(-\frac{\frac{5x}{18}}{100}\right)
दोनूय कुशींतल्यान 1040000\left(-\frac{\frac{5x}{18}}{100}\right) वजा करचें.
1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)-22400x=22400x\left(-\frac{\frac{5x}{18}}{100}\right)
दोनूय कुशींतल्यान 22400x वजा करचें.
1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)-22400x-22400x\left(-\frac{\frac{5x}{18}}{100}\right)=0
दोनूय कुशींतल्यान 22400x\left(-\frac{\frac{5x}{18}}{100}\right) वजा करचें.
100\left(1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)-22400x\right)-2240000x\left(-\frac{\frac{5x}{18}}{100}\right)=0
100 वरवीं समिकरणाच्या दोनूय कुशींक गुणाकार करचो.
100\left(2400x\left(-\frac{x}{4\times 100}\right)+20000x\left(-\frac{3x}{10\times 100}\right)+40000\left(-\frac{x}{4\times 100}\right)+1000000\left(-\frac{3x}{10\times 100}\right)+22400x-1040000\left(-\frac{5x}{18\times 100}\right)-22400x\right)-2240000x\left(-\frac{5x}{18\times 100}\right)=0
संज्ञा परत क्रमान लावची.
100\left(2400x\left(-1\right)\times \frac{x}{4\times 100}+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
-40000 मेळोवंक 40000 आनी -1 गुणचें. -1000000 मेळोवंक 1000000 आनी -1 गुणचें. -1040000 मेळोवंक -1 आनी 1040000 गुणचें.
100\left(-2400x\times \frac{x}{4\times 100}+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
-2400 मेळोवंक 2400 आनी -1 गुणचें.
100\left(-2400x\times \frac{x}{400}+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
400 मेळोवंक 4 आनी 100 गुणचें.
100\left(-6xx+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
2400 आनी 400 त 400 हो सगल्यांत व्हडलो सामान्य घटक रद्द करचो.
100\left(-6xx-20000x\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
-20000 मेळोवंक 20000 आनी -1 गुणचें.
100\left(-6xx-20000x\times \frac{3x}{1000}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
1000 मेळोवंक 10 आनी 100 गुणचें.
100\left(-6xx-20\times 3xx-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
20000 आनी 1000 त 1000 हो सगल्यांत व्हडलो सामान्य घटक रद्द करचो.
100\left(-6xx-20\times 3xx-40000\times \frac{x}{400}-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
400 मेळोवंक 4 आनी 100 गुणचें.
100\left(-6xx-20\times 3xx-100x-1000000\times \frac{3x}{10\times 100}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
40000 आनी 400 त 400 हो सगल्यांत व्हडलो सामान्य घटक रद्द करचो.
100\left(-6xx-20\times 3xx-100x-1000000\times \frac{3x}{1000}+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
1000 मेळोवंक 10 आनी 100 गुणचें.
100\left(-6xx-20\times 3xx-100x-1000\times 3x+22400x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
1000000 आनी 1000 त 1000 हो सगल्यांत व्हडलो सामान्य घटक रद्द करचो.
100\left(-6xx-20\times 3xx+22300x-1000\times 3x-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
22300x मेळोवंक -100x आनी 22400x एकठांय करचें.
100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
1040000 मेळोवंक -1040000 आनी -1 गुणचें.
100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000\times \frac{x}{18\times 20}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय 5 रद्द करचो.
100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000\times \frac{x}{360}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
360 मेळोवंक 18 आनी 20 गुणचें.
100\left(-6xx-20\times 3xx+22300x-1000\times 3x+\frac{1040000x}{360}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
एकोडो अपूर्णांक म्हूण 1040000\times \frac{x}{360} स्पश्ट करचें.
100\left(-6xx-20\times 3xx-100x-1000\times 3x+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
-100x मेळोवंक 22300x आनी -22400x एकठांय करचें.
100\left(-6xx-60xx-100x-3000x+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
-60 मेळोवंक -20 आनी 3 गुणचें. -3000 मेळोवंक -1000 आनी 3 गुणचें.
100\left(-66xx-100x-3000x+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
-66xx मेळोवंक -6xx आनी -60xx एकठांय करचें.
100\left(-66xx-3100x+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
-3100x मेळोवंक -100x आनी -3000x एकठांय करचें.
-6600x^{2}-310000x+100\times \frac{1040000x}{360}-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
-66xx-3100x+\frac{1040000x}{360} न 100 गुणपाक विभाजक विशमाचो वापर करचो.
-6600x^{2}-310000x+100\times \frac{26000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
\frac{26000}{9}x मेळोवंक 1040000x क 360 न भाग लावचो.
-6600x^{2}-310000x+\frac{100\times 26000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
एकोडो अपूर्णांक म्हूण 100\times \frac{26000}{9} स्पश्ट करचें.
-6600x^{2}-310000x+\frac{2600000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
2600000 मेळोवंक 100 आनी 26000 गुणचें.
-6600x^{2}-\frac{190000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=0
-\frac{190000}{9}x मेळोवंक -310000x आनी \frac{2600000}{9}x एकठांय करचें.
-6600x^{2}-\frac{190000}{9}x+2240000x\times \frac{5x}{18\times 100}=0
2240000 मेळोवंक -2240000 आनी -1 गुणचें.
-6600x^{2}-\frac{190000}{9}x+2240000x\times \frac{x}{18\times 20}=0
न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय 5 रद्द करचो.
-6600x^{2}-\frac{190000}{9}x+2240000x\times \frac{x}{360}=0
360 मेळोवंक 18 आनी 20 गुणचें.
-6600x^{2}-\frac{190000}{9}x+\frac{2240000x}{360}x=0
एकोडो अपूर्णांक म्हूण 2240000\times \frac{x}{360} स्पश्ट करचें.
-6600x^{2}-\frac{190000}{9}x+\frac{56000}{9}xx=0
\frac{56000}{9}x मेळोवंक 2240000x क 360 न भाग लावचो.
-6600x^{2}-\frac{190000}{9}x+\frac{56000}{9}x^{2}=0
x^{2} मेळोवंक x आनी x गुणचें.
-\frac{3400}{9}x^{2}-\frac{190000}{9}x=0
-\frac{3400}{9}x^{2} मेळोवंक -6600x^{2} आनी \frac{56000}{9}x^{2} एकठांय करचें.
x=\frac{-\left(-\frac{190000}{9}\right)±\sqrt{\left(-\frac{190000}{9}\right)^{2}}}{2\left(-\frac{3400}{9}\right)}
हें समिकरण प्रमाणित पद्दतीन आसा: ax^{2}+bx+c=0. क्वॉड्रेटिक सिध्दांत \frac{-b±\sqrt{b^{2}-4ac}}{2a} त a खातीर -\frac{3400}{9}, b खातीर -\frac{190000}{9} आनी c खातीर 0 बदली घेवचे.
x=\frac{-\left(-\frac{190000}{9}\right)±\frac{190000}{9}}{2\left(-\frac{3400}{9}\right)}
\left(-\frac{190000}{9}\right)^{2} चें वर्गमूळ घेवचें.
x=\frac{\frac{190000}{9}±\frac{190000}{9}}{2\left(-\frac{3400}{9}\right)}
-\frac{190000}{9} च्या विरुध्दार्थी अंक \frac{190000}{9} आसा.
x=\frac{\frac{190000}{9}±\frac{190000}{9}}{-\frac{6800}{9}}
-\frac{3400}{9}क 2 फावटी गुणचें.
x=\frac{\frac{380000}{9}}{-\frac{6800}{9}}
जेन्ना ± अदीक आस्ता तेन्ना समिकरण x=\frac{\frac{190000}{9}±\frac{190000}{9}}{-\frac{6800}{9}} सोडोवचें. सामान्य भाजक सोदून आनी गणकांची बेरीज करून \frac{190000}{9} क \frac{190000}{9} ची बेरीज करची. मागीर शक्य आसा जाल्यार सगल्यांत ल्हान संज्ञेन अपुर्णांक उणो करचो.
x=-\frac{950}{17}
-\frac{6800}{9} च्या पुरकाक \frac{380000}{9} गुणून -\frac{6800}{9} न \frac{380000}{9} क भाग लावचो.
x=\frac{0}{-\frac{6800}{9}}
जेन्ना ± वजा आस्ता तेन्ना समिकरण x=\frac{\frac{190000}{9}±\frac{190000}{9}}{-\frac{6800}{9}} सोडोवचें. सामान्य भाजक सोदून आनी गणकांची बेरीज करून \frac{190000}{9} तल्यान \frac{190000}{9} वजा करचो. मागीर शक्य आसा जाल्यार सगल्यांत ल्हान संज्ञेन अपुर्णांक उणो करचो.
x=0
-\frac{6800}{9} च्या पुरकाक 0 गुणून -\frac{6800}{9} न 0 क भाग लावचो.
x=-\frac{950}{17} x=0
समिकरण आतां सुटावें जालें.
2000\left(1+\frac{2x}{100}\right)\times 25\times 20\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
100 वरवीं समिकरणाच्या दोनूय कुशींक गुणाकार करचो.
2000\left(1+\frac{1}{50}x\right)\times 25\times 20\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{1}{50}x मेळोवंक 2x क 100 न भाग लावचो.
50000\left(1+\frac{1}{50}x\right)\times 20\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
50000 मेळोवंक 2000 आनी 25 गुणचें.
1000000\left(1+\frac{1}{50}x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1000000 मेळोवंक 50000 आनी 20 गुणचें.
\left(1000000+1000000\times \frac{1}{50}x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1+\frac{1}{50}x न 1000000 गुणपाक विभाजक विशमाचो वापर करचो.
\left(1000000+\frac{1000000}{50}x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{1000000}{50} मेळोवंक 1000000 आनी \frac{1}{50} गुणचें.
\left(1000000+20000x\right)\left(1-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
20000 मेळोवंक 1000000 क 50 न भाग लावचो.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{6x}{100}\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1000000+20000xच्या प्रत्येकी टर्माक 1-\frac{\frac{3x}{10}}{100} च्या प्रत्येकी टर्मान गुणाकार करून वितरक गुणधर्म लागू करचो.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+500\left(1+\frac{3}{50}x\right)\times 4\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{3}{50}x मेळोवंक 6x क 100 न भाग लावचो.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+2000\left(1+\frac{3}{50}x\right)\times 20\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
2000 मेळोवंक 500 आनी 4 गुणचें.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(1+\frac{3}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
40000 मेळोवंक 2000 आनी 20 गुणचें.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+40000\times \frac{3}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1+\frac{3}{50}x न 40000 गुणपाक विभाजक विशमाचो वापर करचो.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+\frac{40000\times 3}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
एकोडो अपूर्णांक म्हूण 40000\times \frac{3}{50} स्पश्ट करचें.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+\frac{120000}{50}x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
120000 मेळोवंक 40000 आनी 3 गुणचें.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+\left(40000+2400x\right)\left(1-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
2400 मेळोवंक 120000 क 50 न भाग लावचो.
1000000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
40000+2400xच्या प्रत्येकी टर्माक 1-\frac{\frac{x}{4}}{100} च्या प्रत्येकी टर्मान गुणाकार करून वितरक गुणधर्म लागू करचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+20000x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1040000 मेळोवंक 1000000 आनी 40000 ची बेरीज करची.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{2x}{100}\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
22400x मेळोवंक 20000x आनी 2400x एकठांय करचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(20\left(1+\frac{1}{50}x\right)\times 25+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{1}{50}x मेळोवंक 2x क 100 न भाग लावचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500\left(1+\frac{1}{50}x\right)+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
500 मेळोवंक 20 आनी 25 गुणचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+500\times \frac{1}{50}x+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1+\frac{1}{50}x न 500 गुणपाक विभाजक विशमाचो वापर करचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+\frac{500}{50}x+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{500}{50} मेळोवंक 500 आनी \frac{1}{50} गुणचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+5\left(1+\frac{6x}{100}\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
10 मेळोवंक 500 क 50 न भाग लावचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+5\left(1+\frac{3}{50}x\right)\times 4\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{3}{50}x मेळोवंक 6x क 100 न भाग लावचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20\left(1+\frac{3}{50}x\right)\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
20 मेळोवंक 5 आनी 4 गुणचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+20\times \frac{3}{50}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
1+\frac{3}{50}x न 20 गुणपाक विभाजक विशमाचो वापर करचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+\frac{20\times 3}{50}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
एकोडो अपूर्णांक म्हूण 20\times \frac{3}{50} स्पश्ट करचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+\frac{60}{50}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
60 मेळोवंक 20 आनी 3 गुणचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(500+10x+20+\frac{6}{5}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
10 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{60}{50} उणो करचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(520+10x+\frac{6}{5}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
520 मेळोवंक 500 आनी 20 ची बेरीज करची.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=100\left(520+\frac{56}{5}x\right)\times 20\left(1-\frac{\frac{5x}{18}}{100}\right)
\frac{56}{5}x मेळोवंक 10x आनी \frac{6}{5}x एकठांय करचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=2000\left(520+\frac{56}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)
2000 मेळोवंक 100 आनी 20 गुणचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+2000\times \frac{56}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)
520+\frac{56}{5}x न 2000 गुणपाक विभाजक विशमाचो वापर करचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+\frac{2000\times 56}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)
एकोडो अपूर्णांक म्हूण 2000\times \frac{56}{5} स्पश्ट करचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+\frac{112000}{5}x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)
112000 मेळोवंक 2000 आनी 56 गुणचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=\left(1040000+22400x\right)\left(1-\frac{\frac{5x}{18}}{100}\right)
22400 मेळोवंक 112000 क 5 न भाग लावचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)=1040000+1040000\left(-\frac{\frac{5x}{18}}{100}\right)+22400x+22400x\left(-\frac{\frac{5x}{18}}{100}\right)
1040000+22400xच्या प्रत्येकी टर्माक 1-\frac{\frac{5x}{18}}{100} च्या प्रत्येकी टर्मान गुणाकार करून वितरक गुणधर्म लागू करचो.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)=1040000+22400x+22400x\left(-\frac{\frac{5x}{18}}{100}\right)
दोनूय कुशींतल्यान 1040000\left(-\frac{\frac{5x}{18}}{100}\right) वजा करचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)-22400x=1040000+22400x\left(-\frac{\frac{5x}{18}}{100}\right)
दोनूय कुशींतल्यान 22400x वजा करचें.
1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)-22400x-22400x\left(-\frac{\frac{5x}{18}}{100}\right)=1040000
दोनूय कुशींतल्यान 22400x\left(-\frac{\frac{5x}{18}}{100}\right) वजा करचें.
100\left(1040000+1000000\left(-\frac{\frac{3x}{10}}{100}\right)+22400x+20000x\left(-\frac{\frac{3x}{10}}{100}\right)+40000\left(-\frac{\frac{x}{4}}{100}\right)+2400x\left(-\frac{\frac{x}{4}}{100}\right)-1040000\left(-\frac{\frac{5x}{18}}{100}\right)-22400x\right)-2240000x\left(-\frac{\frac{5x}{18}}{100}\right)=104000000
100 वरवीं समिकरणाच्या दोनूय कुशींक गुणाकार करचो.
100\left(2400x\left(-\frac{x}{4\times 100}\right)+20000x\left(-\frac{3x}{10\times 100}\right)+40000\left(-\frac{x}{4\times 100}\right)+1000000\left(-\frac{3x}{10\times 100}\right)+22400x+1040000-1040000\left(-\frac{5x}{18\times 100}\right)-22400x\right)-2240000x\left(-\frac{5x}{18\times 100}\right)=104000000
संज्ञा परत क्रमान लावची.
100\left(2400x\left(-1\right)\times \frac{x}{4\times 100}+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
-40000 मेळोवंक 40000 आनी -1 गुणचें. -1000000 मेळोवंक 1000000 आनी -1 गुणचें. -1040000 मेळोवंक -1 आनी 1040000 गुणचें.
100\left(-2400x\times \frac{x}{4\times 100}+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
-2400 मेळोवंक 2400 आनी -1 गुणचें.
100\left(-2400x\times \frac{x}{400}+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
400 मेळोवंक 4 आनी 100 गुणचें.
100\left(-6xx+20000x\left(-1\right)\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
2400 आनी 400 त 400 हो सगल्यांत व्हडलो सामान्य घटक रद्द करचो.
100\left(-6xx-20000x\times \frac{3x}{10\times 100}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
-20000 मेळोवंक 20000 आनी -1 गुणचें.
100\left(-6xx-20000x\times \frac{3x}{1000}-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
1000 मेळोवंक 10 आनी 100 गुणचें.
100\left(-6xx-20\times 3xx-40000\times \frac{x}{4\times 100}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
20000 आनी 1000 त 1000 हो सगल्यांत व्हडलो सामान्य घटक रद्द करचो.
100\left(-6xx-20\times 3xx-40000\times \frac{x}{400}-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
400 मेळोवंक 4 आनी 100 गुणचें.
100\left(-6xx-20\times 3xx-100x-1000000\times \frac{3x}{10\times 100}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
40000 आनी 400 त 400 हो सगल्यांत व्हडलो सामान्य घटक रद्द करचो.
100\left(-6xx-20\times 3xx-100x-1000000\times \frac{3x}{1000}+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
1000 मेळोवंक 10 आनी 100 गुणचें.
100\left(-6xx-20\times 3xx-100x-1000\times 3x+22400x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
1000000 आनी 1000 त 1000 हो सगल्यांत व्हडलो सामान्य घटक रद्द करचो.
100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000-1040000\left(-1\right)\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
22300x मेळोवंक -100x आनी 22400x एकठांय करचें.
100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000+1040000\times \frac{5x}{18\times 100}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
1040000 मेळोवंक -1040000 आनी -1 गुणचें.
100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000+1040000\times \frac{x}{18\times 20}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय 5 रद्द करचो.
100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000+1040000\times \frac{x}{360}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
360 मेळोवंक 18 आनी 20 गुणचें.
100\left(-6xx-20\times 3xx+22300x-1000\times 3x+1040000+\frac{1040000x}{360}-22400x\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
एकोडो अपूर्णांक म्हूण 1040000\times \frac{x}{360} स्पश्ट करचें.
100\left(-6xx-20\times 3xx-100x-1000\times 3x+1040000+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
-100x मेळोवंक 22300x आनी -22400x एकठांय करचें.
100\left(-6xx-60xx-100x-3000x+1040000+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
-60 मेळोवंक -20 आनी 3 गुणचें. -3000 मेळोवंक -1000 आनी 3 गुणचें.
100\left(-66xx-100x-3000x+1040000+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
-66xx मेळोवंक -6xx आनी -60xx एकठांय करचें.
100\left(-66xx-3100x+1040000+\frac{1040000x}{360}\right)-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
-3100x मेळोवंक -100x आनी -3000x एकठांय करचें.
-6600x^{2}-310000x+104000000+100\times \frac{1040000x}{360}-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
-66xx-3100x+1040000+\frac{1040000x}{360} न 100 गुणपाक विभाजक विशमाचो वापर करचो.
-6600x^{2}-310000x+104000000+100\times \frac{26000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
\frac{26000}{9}x मेळोवंक 1040000x क 360 न भाग लावचो.
-6600x^{2}-310000x+104000000+\frac{100\times 26000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
एकोडो अपूर्णांक म्हूण 100\times \frac{26000}{9} स्पश्ट करचें.
-6600x^{2}-310000x+104000000+\frac{2600000}{9}x-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
2600000 मेळोवंक 100 आनी 26000 गुणचें.
-6600x^{2}-\frac{190000}{9}x+104000000-2240000x\left(-1\right)\times \frac{5x}{18\times 100}=104000000
-\frac{190000}{9}x मेळोवंक -310000x आनी \frac{2600000}{9}x एकठांय करचें.
-6600x^{2}-\frac{190000}{9}x+104000000+2240000x\times \frac{5x}{18\times 100}=104000000
2240000 मेळोवंक -2240000 आनी -1 गुणचें.
-6600x^{2}-\frac{190000}{9}x+104000000+2240000x\times \frac{x}{18\times 20}=104000000
न्युमरेटर आनी डिनोमिनेटर अशा दोगांचेरूय 5 रद्द करचो.
-6600x^{2}-\frac{190000}{9}x+104000000+2240000x\times \frac{x}{360}=104000000
360 मेळोवंक 18 आनी 20 गुणचें.
-6600x^{2}-\frac{190000}{9}x+104000000+\frac{2240000x}{360}x=104000000
एकोडो अपूर्णांक म्हूण 2240000\times \frac{x}{360} स्पश्ट करचें.
-6600x^{2}-\frac{190000}{9}x+104000000+\frac{56000}{9}xx=104000000
\frac{56000}{9}x मेळोवंक 2240000x क 360 न भाग लावचो.
-6600x^{2}-\frac{190000}{9}x+104000000+\frac{56000}{9}x^{2}=104000000
x^{2} मेळोवंक x आनी x गुणचें.
-\frac{3400}{9}x^{2}-\frac{190000}{9}x+104000000=104000000
-\frac{3400}{9}x^{2} मेळोवंक -6600x^{2} आनी \frac{56000}{9}x^{2} एकठांय करचें.
-\frac{3400}{9}x^{2}-\frac{190000}{9}x=104000000-104000000
दोनूय कुशींतल्यान 104000000 वजा करचें.
-\frac{3400}{9}x^{2}-\frac{190000}{9}x=0
0 मेळोवंक 104000000 आनी 104000000 वजा करचे.
\frac{-\frac{3400}{9}x^{2}-\frac{190000}{9}x}{-\frac{3400}{9}}=\frac{0}{-\frac{3400}{9}}
-\frac{3400}{9} वरवीं समिकरणाच्या दोनूय कुशींक भाग लावचो, अपुर्णांकाच्या पुरका वरवीं दोनूय कुशींक गुणपा सारकेंच हें आसता.
x^{2}+\left(-\frac{\frac{190000}{9}}{-\frac{3400}{9}}\right)x=\frac{0}{-\frac{3400}{9}}
-\frac{3400}{9} वरवीं भागाकार केल्यार -\frac{3400}{9} वरवीं केल्लो गुणाकार काडटा.
x^{2}+\frac{950}{17}x=\frac{0}{-\frac{3400}{9}}
-\frac{3400}{9} च्या पुरकाक -\frac{190000}{9} गुणून -\frac{3400}{9} न -\frac{190000}{9} क भाग लावचो.
x^{2}+\frac{950}{17}x=0
-\frac{3400}{9} च्या पुरकाक 0 गुणून -\frac{3400}{9} न 0 क भाग लावचो.
x^{2}+\frac{950}{17}x+\left(\frac{475}{17}\right)^{2}=\left(\frac{475}{17}\right)^{2}
\frac{475}{17} मेळपा खातीर 2 न x संज्ञेचो कोऐफिशियंट आशिल्लो \frac{950}{17} क भाग लावचो. मागीर समिकरणाच्या दोनूय कुशींनी \frac{475}{17} च्या वर्गाची बेरीज करची. हो पांवडो समिकरणाचे दावे कुशीक एक जुस्त वर्ग करता.
x^{2}+\frac{950}{17}x+\frac{225625}{289}=\frac{225625}{289}
अपूर्णांकांचो गणक आनी भाजक हांकां दोनांकूय वर्गमूळ लावन \frac{475}{17} क वर्गमूळ लावचें.
\left(x+\frac{475}{17}\right)^{2}=\frac{225625}{289}
गुणकपद x^{2}+\frac{950}{17}x+\frac{225625}{289}. सामान्यपणान, जेन्नाx^{2}+bx+c अचूक वर्ग आसात, तो सदांच\left(x+\frac{b}{2}\right)^{2}गुणकपद करूं येता.
\sqrt{\left(x+\frac{475}{17}\right)^{2}}=\sqrt{\frac{225625}{289}}
समिकरणाच्या दोनूय कुशींनी वर्गमूळ काडचो.
x+\frac{475}{17}=\frac{475}{17} x+\frac{475}{17}=-\frac{475}{17}
सोंपें करचें.
x=0 x=-\frac{950}{17}
समिकरणाच्या दोनूय कुशींतल्यान \frac{475}{17} वजा करचें.
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