Mathematics
         
语言：中文    Language:English
Equations   
Fold
Unary equation
Multivariate equation
Math OP  
Unfold
Linear algebra      
Unfold
Derivative function
Function image
Hot issues
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/1.09*9%*1.12-x/1.09*0.05%-(x-x/1.09*9%*1.12-x/1.09*0.05%-11421)*30% = 11426.3*（1+0.05/0.75） .
    Question type: Equation
    Solution:Original question:
      x − x ÷
109
100
 ×
9
100
 ×
28
25
 − x ÷
109
100
 ×
1
2000
 − ( x − x ÷
109
100
 ×
9
100
 ×
28
25
 − x ÷
109
100
 ×
1
2000
 − 11421) ×
30
100
 =
114263
10
(1 +
1
20
 ÷
3
4
)
     Left side of the equation = x − x ×
252
2725
 − x ×
1
2180
 − ( x − x ÷
109
100
 ×
9
100
 ×
28
25
 − x ÷
109
100
 ×
1
2000
 − 11421) ×
30
100
                                             =
9887
10900
 x − ( x − x ÷
109
100
 ×
9
100
 ×
28
25
 − x ÷
109
100
 ×
1
2000
 − 11421) ×
30
100
    The equation is transformed into :
     
9887
10900
 x − ( x − x ÷
109
100
 ×
9
100
 ×
28
25
 − x ÷
109
100
 ×
1
2000
 − 11421) ×
30
100
 =
114263
10
(1 +
1
20
 ÷
3
4
)
    Remove the bracket on the left of the equation:
     Left side of the equation =
9887
10900
 x − x ×
30
100
 + x ÷
109
100
 ×
9
100
 ×
28
25
 ×
30
100
 + x ÷
109
100
 ×
1
2000
                                             =
9887
10900
 x − x ×
30
100
 + x ×
378
13625
 + x ×
3
21800
 +
34263
10
                                             =
69209
109000
 x +
34263
10
    The equation is transformed into :
     
69209
109000
 x +
34263
10
 =
114263
10
(1 +
1
20
 ÷
3
4
)
    Remove the bracket on the right of the equation:
     Right side of the equation =
114263
10
 × 1 +
114263
10
 ×
1
20
 ÷
3
4
                                               =
114263
10
 +
114263
150
                                               =
914104
75
    The equation is transformed into :
     
69209
109000
 x +
34263
10
 =
914104
75

    Transposition :
     
69209
109000
 x =
914104
75
 −
34263
10

    Combine the items on the right of the equation:
     
69209
109000
 x =
1314263
150

    The coefficient of the unknown number is reduced to 1 :
      x =
1314263
150
 ÷
69209
109000
        =
1314263
150
 ×
109000
69209
        =
1314263
3
 ×
2180
69209

    We obtained :
      x =
2865093340
207627
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 13799.232951



Your problem has not been solved here? Please go to the Hot Problems section！


Return



  New addition:Lenders ToolBox module（Specific location：Math OP > Lenders ToolBox ），welcome。