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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 10000*0.05 = x-11300-(x/1.13*0.13-1300)-(x/1.13*0.13-1300)*0.12-(x/1.13+10000)*0.0003-{(x/1.13-10000-(x/1.13-1300)*0.12-(x/1.13+10000)*0.0003)*0.25} .
    Question type: Equation
    Solution:Original question:
     10000 ×
1
20
= x 11300( x ÷
113
100
×
13
100
1300)( x ÷
113
100
×
13
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
(( x ÷
113
100
10000( x ÷
113
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
) ×
1
4
)
     Left side of the equation = 500
    The equation is transformed into :
     500 = x 11300( x ÷
113
100
×
13
100
1300)( x ÷
113
100
×
13
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
(( x ÷
113
100
10000( x ÷
113
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
) ×
1
4
)
    Remove the bracket on the right of the equation:
     Right side of the equation = x 11300 x ÷
113
100
×
13
100
+ 1300( x ÷
113
100
×
13
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
(( x ÷
113
100
10000( x ÷
113
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
) ×
1
4
)
                                               = x 11300 x ×
13
113
+ 1300( x ÷
113
100
×
13
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
(( x ÷
113
100
10000( x ÷
113
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
) ×
1
4
)
                                               =
100
113
x 10000( x ÷
113
100
×
13
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
(( x ÷
113
100
10000( x ÷
113
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
) ×
1
4
)
                                               =
100
113
x 10000 x ÷
113
100
×
13
100
×
3
25
+ 1300 ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
(( x ÷
113
100
10000( x ÷
113
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
) ×
1
4
)
                                               =
100
113
x 10000 x ×
39
2825
+ 156( x ÷
113
100
+ 10000) ×
3
10000
(( x ÷
113
100
10000( x ÷
113
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
) ×
1
4
)
                                               =
2461
2825
x 9844( x ÷
113
100
+ 10000) ×
3
10000
(( x ÷
113
100
10000( x ÷
113
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
) ×
1
4
)
                                               =
2461
2825
x 9844 x ÷
113
100
×
3
10000
10000 ×
3
10000
(( x ÷
113
100
10000( x ÷
113
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
) ×
1
4
)
                                               =
2461
2825
x 9844 x ×
3
11300
3(( x ÷
113
100
10000( x ÷
113
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
) ×
1
4
)
                                               =
9841
11300
x 9847(( x ÷
113
100
10000( x ÷
113
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
) ×
1
4
)
                                               =
9841
11300
x 9847( x ÷
113
100
10000( x ÷
113
100
1300) ×
3
25
( x ÷
113
100
+ 10000) ×
3
10000
) ×
1
4
                                               =
9841
11300
x 9847 x ÷
113
100
×
1
4
+ 10000 ×
1
4
+ ( x ÷
113
100
1300) ×
3
25
×
1
4
+ ( x ÷
113
100
+ 10000)
                                               =
9841
11300
x 9847 x ×
25
113
+ 2500 + ( x ÷
113
100
1300) ×
3
100
+ ( x ÷
113
100
+ 10000) ×
3
40000
                                               =
7341
11300
x 7347 + ( x ÷
113
100
1300) ×
3
100
+ ( x ÷
113
100
+ 10000) ×
3
40000
                                               =
7341
11300
x 7347 + x ÷
113
100
×
3
100
1300 ×
3
100
+ ( x ÷
113
100
+ 10000) ×
3
40000
                                               =
7341
11300
x 7347 + x ×
3
113
39 + ( x ÷
113
100
+ 10000) ×
3
40000
                                               =
7641
11300
x 7386 + ( x ÷
113
100
+ 10000) ×
3
40000
                                               =
7641
11300
x 7386 + x ÷
113
100
×
3
40000
+ 10000 ×
3
40000
                                               =
7641
11300
x 7386 + x ×
3
45200
+
3
4
                                               =
30567
45200
x
29541
4
    The equation is transformed into :
     500 =
30567
45200
x
29541
4

    Transposition :
      -
30567
45200
x = -
29541
4
500

    Combine the items on the right of the equation:
      -
30567
45200
x = -
31541
4

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
31541
4
=
30567
45200
x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
30567
45200
x =
31541
4

    The coefficient of the unknown number is reduced to 1 :
      x =
31541
4
÷
30567
45200
        =
31541
4
×
45200
30567
        = 31541 ×
11300
30567

    We obtained :
      x =
356413300
30567
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 11660.068047



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