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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation （x+996)/2004+(x+997)/2003+(x+998)/2002+3 = 0 .
    Question type: Equation
    Solution:Original question:
     ( x + 996) ÷ 2004 + ( x + 997) ÷ 2003 + ( x + 998) ÷ 2002 + 3 = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
1
2004
 + 996 ×
1
2004
 + ( x + 997) ×
1
2003
 + ( x + 998) ×
1
2002
 + 3
                                             = x ×
1
2004
 +
83
167
 + ( x + 997) ×
1
2003
 + ( x + 998) ×
1
2002
 + 3
                                             =
1
2004
 x +
584
167
 + ( x + 997) ×
1
2003
 + ( x + 998) ×
1
2002
                                             =
1
2004
 x +
584
167
 + x ×
1
2003
 + 997 ×
1
2003
 + ( x + 998) ×
1
2002
                                             =
1
2004
 x +
584
167
 + x ×
1
2003
 +
997
2003
 + ( x + 998) ×
1
2002
                                             =
4007
4014012
 x +
1336251
334501
 + ( x + 998) ×
1
2002
                                             =
4007
4014012
 x +
1336251
334501
 + x ×
1
2002
 + 998 ×
1
2002
                                             =
4007
4014012
 x +
1336251
334501
 + x ×
1
2002
 +
499
1001
                                             =
6018013
4018026012
 x +
1504503250
334835501
    The equation is transformed into :
     
6018013
4018026012
 x +
1504503250
334835501
 = 0

    Transposition :
     
6018013
4018026012
 x = 0 −
1504503250
334835501

    Combine the items on the right of the equation:
     
6018013
4018026012
 x = -
1504503250
334835501

    The coefficient of the unknown number is reduced to 1 :
      x = -
1504503250
334835501
 ÷
6018013
4018026012
        = -
1504503250
334835501
 ×
4018026012
6018013
        = -
40662250
2003
 ×
24036
162649

    We obtained :
      x = -
977357841000
325785947
    This is the solution of the equation.



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