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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/72+(x-x/1.35)*1.35/72+{(x-x/1/35)+[（x-x/1.35）*1.35-(x-x/1.35)*1.35/1.35]}*1.4/36 = 50 .
    Question type: Equation
    Solution:Original question:
      x ÷ 72 + ( x − x ÷
27
20
) ×
27
20
 ÷ 72 + (( x − x ÷ 1 ÷ 35) + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
)) ×
7
5
 ÷ 36 = 50
     Left side of the equation = x ×
1
72
 + ( x − x ÷
27
20
) ×
3
160
 + (( x − x ÷ 1 ÷ 35) + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
)) ×
7
180
    The equation is transformed into :
     
1
72
 x + ( x − x ÷
27
20
) ×
3
160
 + (( x − x ÷ 1 ÷ 35) + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
)) ×
7
180
 = 50
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
72
 x + x ×
3
160
 − x ÷
27
20
 ×
3
160
 + (( x − x ÷ 1 ÷ 35) + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
)) ×
7
180
                                             =
1
72
 x + x ×
3
160
 − x ×
1
72
 + (( x − x ÷ 1 ÷ 35) + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
)) ×
7
180
                                             =
3
160
 x + (( x − x ÷ 1 ÷ 35) + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
)) ×
7
180
                                             =
3
160
 x + ( x − x ÷ 1 ÷ 35) ×
7
180
 + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
) ×
7
180
                                             =
3
160
 x + x ×
7
180
 − x ÷ 1 ÷ 35 ×
7
180
 + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
) ×
7
180
                                             =
3
160
 x + x ×
7
180
 − x ×
1
900
 + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
) ×
7
180
                                             =
407
7200
 x + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
) ×
7
180
                                             =
407
7200
 x + ( x − x ÷
27
20
) ×
27
20
 ×
7
180
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
 ×
7
180
                                             =
407
7200
 x + ( x − x ÷
27
20
) ×
21
400
 − ( x − x ÷
27
20
) ×
7
180
                                             =
407
7200
 x + x ×
21
400
 − x ÷
27
20
 ×
21
400
 − ( x − x ÷
27
20
) ×
7
180
                                             =
407
7200
 x + x ×
21
400
 − x ×
7
180
 − ( x − x ÷
27
20
) ×
7
180
                                             =
101
1440
 x − ( x − x ÷
27
20
) ×
7
180
                                             =
101
1440
 x − x ×
7
180
 + x ÷
27
20
 ×
7
180
                                             =
101
1440
 x − x ×
7
180
 + x ×
7
243
                                             =
467
7776
 x
    The equation is transformed into :
     
467
7776
 x = 50

    The coefficient of the unknown number is reduced to 1 :
      x = 50 ÷
467
7776
        = 50 ×
7776
467

    We obtained :
      x =
388800
467
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 832.54818



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