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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-34816.6-x/1.09*0.09-（x/1.09*0.09）*0.12-（x-x/1.09*0.09）*0.0005-（x-34816.6-x/1.09*0.09-（x/1.09*0.09）*0.12-（x-x/1.09*0.09）*0.0005）*0.3 = 0 .
    Question type: Equation
    Solution:Original question:
      x −
174083
5
 − x ÷
109
100
 ×
9
100
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
 − ( x −
174083
5
 − x ÷
109
100
 ×
9
100
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
) ×
3
10
 = 0
     Left side of the equation = x −
174083
5
 − x ×
9
109
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
 − ( x −
174083
5
 − x ÷
109
100
 ×
9
100
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
) ×
3
10
                                             =
100
109
 x −
174083
5
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
 − ( x −
174083
5
 − x ÷
109
100
 ×
9
100
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
) ×
3
10
    The equation is transformed into :
     
100
109
 x −
174083
5
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
 − ( x −
174083
5
 − x ÷
109
100
 ×
9
100
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
) ×
3
10
 = 0
    Remove the bracket on the left of the equation:
     Left side of the equation =
100
109
 x −
174083
5
 − x ÷
109
100
 ×
9
100
 ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
 − ( x −
174083
5
 − x ÷
109
100
 ×
9
100
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
) ×
3
10
                                             =
100
109
 x −
174083
5
 − x ×
27
2725
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
 − ( x −
174083
5
 − x ÷
109
100
 ×
9
100
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
) ×
3
10
                                             =
2473
2725
 x −
174083
5
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
 − ( x −
174083
5
 − x ÷
109
100
 ×
9
100
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
) ×
3
10
                                             =
2473
2725
 x −
174083
5
 − x ×
1
2000
 + x ÷
109
100
 ×
9
100
 ×
1
2000
 − ( x −
174083
5
 − x ÷
109
100
 ×
9
100
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
) ×
3
10
                                             =
2473
2725
 x −
174083
5
 − x ×
1
2000
 + x ×
9
218000
 − ( x −
174083
5
 − x ÷
109
100
 ×
9
100
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
) ×
3
10
                                             =
9887
10900
 x −
174083
5
 − ( x −
174083
5
 − x ÷
109
100
 ×
9
100
 − ( x ÷
109
100
 ×
9
100
) ×
3
25
 − ( x − x ÷
109
100
 ×
9
100
) ×
1
2000
) ×
3
10
                                             =
9887
10900
 x −
174083
5
 − x ×
3
10
 +
174083
5
 ×
3
10
 + x ÷
109
100
 ×
9
100
 ×
3
10
 + ( x ÷
109
100
 ×
9
100
)
                                             =
9887
10900
 x −
174083
5
 − x ×
3
10
 +
522249
50
 + x ×
27
1090
 + ( x ÷
109
100
 ×
9
100
) ×
9
250
 + ( x − x ÷
109
100
 ×
9
100
) ×
3
20000
                                             =
6887
10900
 x −
1218581
50
 + ( x ÷
109
100
 ×
9
100
) ×
9
250
 + ( x − x ÷
109
100
 ×
9
100
) ×
3
20000
                                             =
6887
10900
 x −
1218581
50
 + x ÷
109
100
 ×
9
100
 ×
9
250
 + ( x − x ÷
109
100
 ×
9
100
) ×
3
20000
                                             =
6887
10900
 x −
1218581
50
 + x ×
81
27250
 + ( x − x ÷
109
100
 ×
9
100
) ×
3
20000
                                             =
34597
54500
 x −
1218581
50
 + ( x − x ÷
109
100
 ×
9
100
) ×
3
20000
                                             =
34597
54500
 x −
1218581
50
 + x ×
3
20000
 − x ÷
109
100
 ×
9
100
 ×
3
20000
                                             =
34597
54500
 x −
1218581
50
 + x ×
3
20000
 − x ×
27
2180000
                                             =
69209
109000
 x −
1218581
50
    The equation is transformed into :
     
69209
109000
 x −
1218581
50
 = 0

    Transposition :
     
69209
109000
 x = 0 +
1218581
50

    Combine the items on the right of the equation:
     
69209
109000
 x =
1218581
50

    The coefficient of the unknown number is reduced to 1 :
      x =
1218581
50
 ÷
69209
109000
        =
1218581
50
 ×
109000
69209
        = 174083 ×
2180
9887

    We obtained :
      x =
379500940
9887
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 38383.831294



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