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 = 56+x÷(1+17%)*17%+x*5%+x×20% .
    Question type: Equation
    Solution:Original question:
      x = 56 + x ÷ (1 +
17
100
) ×
17
100
 + x ×
5
100
 + x ×
20
100
     Multiply both sides of the equation by:(1 +
17
100
)
      x (1 +
17
100
) = 56(1 +
17
100
) + x ×
17
100
 + x ×
5
100
(1 +
17
100
) + x ×
20
100
(1 +
17
100
)
    Remove a bracket on the left of the equation:：
      x × 1 + x ×
17
100
 = 56(1 +
17
100
) + x ×
17
100
 + x ×
5
100
(1 +
17
100
) + x ×
20
100
(1 +
17
100
)
    Remove a bracket on the right of the equation:：
      x × 1 + x ×
17
100
 = 56 × 1 + 56 ×
17
100
 + x ×
17
100
 + x ×
5
100
(1 +
17
100
) + x ×
20
100
(1 +
17
100
)
    The equation is reduced to :
      x × 1 + x ×
17
100
 = 56 +
238
25
 + x ×
17
100
 + x ×
5
100
(1 +
17
100
) + x ×
20
100
(1 +
17
100
)
    The equation is reduced to :
     
117
100
 x =
1638
25
 +
17
100
 x + x ×
5
100
(1 +
17
100
) + x ×
20
100
(1 +
17
100
)
    Remove a bracket on the right of the equation:：
     
117
100
 x =
1638
25
 +
17
100
 x + x ×
5
100
 × 1 + x ×
5
100
 ×
17
100
 + x ×
20
100
(1 +
17
100
)
    The equation is reduced to :
     
117
100
 x =
1638
25
 +
17
100
 x + x ×
1
20
 + x ×
17
2000
 + x ×
20
100
(1 +
17
100
)
    The equation is reduced to :
     
117
100
 x =
1638
25
 +
457
2000
 x + x ×
20
100
(1 +
17
100
)
    Remove a bracket on the right of the equation:：
     
117
100
 x =
1638
25
 +
457
2000
 x + x ×
20
100
 × 1 + x ×
20
100
 ×
17
100
    The equation is reduced to :
     
117
100
 x =
1638
25
 +
457
2000
 x + x ×
1
5
 + x ×
17
500
    The equation is reduced to :
     
117
100
 x =
1638
25
 +
37
80
 x

    Transposition :
     
117
100
 x −
37
80
 x =
1638
25

    Combine the items on the left of the equation:
     
283
400
 x =
1638
25

    The coefficient of the unknown number is reduced to 1 :
      x =
1638
25
 ÷
283
400
        =
1638
25
 ×
400
283
        = 1638 ×
16
283

    We obtained :
      x =
26208
283
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 92.607774



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。