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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+(x-80)/1.05*5.3%+[x-(x-80)/1.05*5.3%]*0.02 = 580 .
    Question type: Equation
    Solution:Original question:
      x + ( x − 80) ÷
21
20
 ×
53
1000
 + ( x − ( x − 80) ÷
21
20
 ×
53
1000
) ×
1
50
 = 580
     Left side of the equation = x + ( x − 80) ×
53
1050
 + ( x − ( x − 80) ÷
21
20
 ×
53
1000
) ×
1
50
    The equation is transformed into :
      x + ( x − 80) ×
53
1050
 + ( x − ( x − 80) ÷
21
20
 ×
53
1000
) ×
1
50
 = 580
    Remove the bracket on the left of the equation:
     Left side of the equation = x + x ×
53
1050
 − 80 ×
53
1050
 + ( x − ( x − 80) ÷
21
20
 ×
53
1000
) ×
1
50
                                             = x + x ×
53
1050
 −
424
105
 + ( x − ( x − 80) ÷
21
20
 ×
53
1000
) ×
1
50
                                             =
1103
1050
 x −
424
105
 + ( x − ( x − 80) ÷
21
20
 ×
53
1000
) ×
1
50
                                             =
1103
1050
 x −
424
105
 + x ×
1
50
 − ( x − 80) ÷
21
20
 ×
53
1000
 ×
1
50
                                             =
1103
1050
 x −
424
105
 + x ×
1
50
 − ( x − 80) ×
53
52500
                                             =
562
525
 x −
424
105
 − ( x − 80) ×
53
52500
                                             =
562
525
 x −
424
105
 − x ×
53
52500
 + 80 ×
53
52500
                                             =
562
525
 x −
424
105
 − x ×
53
52500
 +
212
2625
                                             =
8021
7500
 x −
1484
375
    The equation is transformed into :
     
8021
7500
 x −
1484
375
 = 580

    Transposition :
     
8021
7500
 x = 580 +
1484
375

    Combine the items on the right of the equation:
     
8021
7500
 x =
218984
375

    The coefficient of the unknown number is reduced to 1 :
      x =
218984
375
 ÷
8021
7500
        =
218984
375
 ×
7500
8021
        = 218984 ×
20
8021

    We obtained :
      x =
4379680
8021
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 546.02668



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