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 = 21+X*17%÷(1+17%)+X*5%+X*10% .
    Question type: Equation
    Solution:Original question:
      X = 21 + X ×
17
100
 ÷ (1 +
17
100
) + X ×
5
100
 + X ×
10
100
     Multiply both sides of the equation by:(1 +
17
100
)
      X (1 +
17
100
) = 21(1 +
17
100
) + X ×
17
100
 + X ×
5
100
(1 +
17
100
) + X ×
10
100
(1 +
17
100
)
    Remove a bracket on the left of the equation:：
      X × 1 + X ×
17
100
 = 21(1 +
17
100
) + X ×
17
100
 + X ×
5
100
(1 +
17
100
) + X ×
10
100
(1 +
17
100
)
    Remove a bracket on the right of the equation:：
      X × 1 + X ×
17
100
 = 21 × 1 + 21 ×
17
100
 + X ×
17
100
 + X ×
5
100
(1 +
17
100
) + X ×
10
100
(1 +
17
100
)
    The equation is reduced to :
      X × 1 + X ×
17
100
 = 21 +
357
100
 + X ×
17
100
 + X ×
5
100
(1 +
17
100
) + X ×
10
100
(1 +
17
100
)
    The equation is reduced to :
     
117
100
 X =
2457
100
 +
17
100
 X + X ×
5
100
(1 +
17
100
) + X ×
10
100
(1 +
17
100
)
    Remove a bracket on the right of the equation:：
     
117
100
 X =
2457
100
 +
17
100
 X + X ×
5
100
 × 1 + X ×
5
100
 ×
17
100
 + X ×
10
100
(1 +
17
100
)
    The equation is reduced to :
     
117
100
 X =
2457
100
 +
17
100
 X + X ×
1
20
 + X ×
17
2000
 + X ×
10
100
(1 +
17
100
)
    The equation is reduced to :
     
117
100
 X =
2457
100
 +
457
2000
 X + X ×
10
100
(1 +
17
100
)
    Remove a bracket on the right of the equation:：
     
117
100
 X =
2457
100
 +
457
2000
 X + X ×
10
100
 × 1 + X ×
10
100
 ×
17
100
    The equation is reduced to :
     
117
100
 X =
2457
100
 +
457
2000
 X + X ×
1
10
 + X ×
17
1000
    The equation is reduced to :
     
117
100
 X =
2457
100
 +
691
2000
 X

    Transposition :
     
117
100
 X −
691
2000
 X =
2457
100

    Combine the items on the left of the equation:
     
1649
2000
 X =
2457
100

    The coefficient of the unknown number is reduced to 1 :
      X =
2457
100
 ÷
1649
2000
        =
2457
100
 ×
2000
1649
        = 2457 ×
20
1649

    We obtained :
      X =
49140
1649
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 29.799879



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。