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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 ÷
27
20
) + (( 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 ÷
27
20
) + (( 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 ÷
27
20
) + (( 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 ÷
27
20
) + (( 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 ÷
27
20
) + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
)) ×
7
180
                                             =
3
160
 x + (( x − x ÷
27
20
) + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
)) ×
7
180
                                             =
3
160
 x + ( x − x ÷
27
20
) ×
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 ÷
27
20
 ×
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 ×
7
243
 + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
) ×
7
180
                                             =
1121
38880
 x + (( x − x ÷
27
20
) ×
27
20
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
) ×
7
180
                                             =
1121
38880
 x + ( x − x ÷
27
20
) ×
27
20
 ×
7
180
 − ( x − x ÷
27
20
) ×
27
20
 ÷
27
20
 ×
7
180
                                             =
1121
38880
 x + ( x − x ÷
27
20
) ×
21
400
 − ( x − x ÷
27
20
) ×
7
180
                                             =
1121
38880
 x + x ×
21
400
 − x ÷
27
20
 ×
21
400
 − ( x − x ÷
27
20
) ×
7
180
                                             =
1121
38880
 x + x ×
21
400
 − x ×
7
180
 − ( x − x ÷
27
20
) ×
7
180
                                             =
8251
194400
 x − ( x − x ÷
27
20
) ×
7
180
                                             =
8251
194400
 x − x ×
7
180
 + x ÷
27
20
 ×
7
180
                                             =
8251
194400
 x − x ×
7
180
 + x ×
7
243
                                             =
233
7200
 x
    The equation is transformed into :
     
233
7200
 x = 50

    The coefficient of the unknown number is reduced to 1 :
      x = 50 ÷
233
7200
        = 50 ×
7200
233

    We obtained :
      x =
360000
233
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1545.064378



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