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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/1.01*0.01)-{（x-(x/1.01*0.01)）*0.8-(x/1.01*0.01*0.07/2)}*0.2-(x/1.01*0.01*0.07/2) = 6400 .
    Question type: Equation
    Solution:Original question:
      x − ( x ÷
101
100
 ×
1
100
) − (( x − ( x ÷
101
100
 ×
1
100
)) ×
4
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)) ×
1
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2) = 6400
    Remove the bracket on the left of the equation:
     Left side of the equation = x − x ÷
101
100
 ×
1
100
 − (( x − ( x ÷
101
100
 ×
1
100
)) ×
4
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)) ×
1
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)
                                             = x − x ×
1
101
 − (( x − ( x ÷
101
100
 ×
1
100
)) ×
4
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)) ×
1
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)
                                             =
100
101
 x − (( x − ( x ÷
101
100
 ×
1
100
)) ×
4
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)) ×
1
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)
                                             =
100
101
 x − ( x − ( x ÷
101
100
 ×
1
100
)) ×
4
5
 ×
1
5
 + ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2) ×
1
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)
                                             =
100
101
 x − ( x − ( x ÷
101
100
 ×
1
100
)) ×
4
25
 + ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2) ×
1
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)
                                             =
100
101
 x − x ×
4
25
 + ( x ÷
101
100
 ×
1
100
) ×
4
25
 + ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2) ×
1
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)
                                             =
2096
2525
 x + ( x ÷
101
100
 ×
1
100
) ×
4
25
 + ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2) ×
1
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)
                                             =
2096
2525
 x + x ÷
101
100
 ×
1
100
 ×
4
25
 + ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2) ×
1
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)
                                             =
2096
2525
 x + x ×
4
2525
 + ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2) ×
1
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)
                                             =
84
101
 x + ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2) ×
1
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)
                                             =
84
101
 x + x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2 ×
1
5
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)
                                             =
84
101
 x + x ×
7
101000
 − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)
                                             =
84007
101000
 x − ( x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2)
                                             =
84007
101000
 x − x ÷
101
100
 ×
1
100
 ×
7
100
 ÷ 2
                                             =
84007
101000
 x − x ×
7
20200
                                             =
20993
25250
 x
    The equation is transformed into :
     
20993
25250
 x = 6400

    The coefficient of the unknown number is reduced to 1 :
      x = 6400 ÷
20993
25250
        = 6400 ×
25250
20993

    We obtained :
      x =
161600000
20993
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 7697.80403



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