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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.
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    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 1108.6 = C*[1-1/(1+7.5%)14]/7.5%+1000/(1+7.5%)14 .
    Question type: Equation
    Solution:Original question:
     
5543
5
 = C (1 − 1 ÷ (1 +
15
200
) × 14) ÷
15
200
 + 1000 ÷ (1 +
15
200
) × 14
     Multiply both sides of the equation by:(1 +
15
200
)
     
5543
5
(1 +
15
200
) = C (1 − 1 ÷ (1 +
15
200
) × 14) ÷
15
200
 × (1 +
15
200
) + 1000 × 14
    Remove a bracket on the left of the equation:：
     
5543
5
 × 1 +
5543
5
 ×
15
200
 = C (1 − 1 ÷ (1 +
15
200
) × 14) ÷
15
200
 × (1 +
15
200
) + 1000 × 14
    Remove a bracket on the right of the equation:：
     
5543
5
 × 1 +
5543
5
 ×
15
200
 = C × 1 ÷
15
200
 × (1 +
15
200
) − C × 1 ÷ (1 +
15
200
) × 14 ÷
15
200
 × (1 +
15
200
) + 1000 × 14
    The equation is reduced to :
     
5543
5
 +
16629
200
 = C ×
40
3
(1 +
15
200
) − C ×
560
3
 ÷ (1 +
15
200
) × (1 +
15
200
) + 14000
    The equation is reduced to :
     
238349
200
 = C ×
40
3
(1 +
15
200
) − C ×
560
3
 ÷ (1 +
15
200
) × (1 +
15
200
) + 14000
     Multiply both sides of the equation by:(1 +
15
200
)
     
238349
200
(1 +
15
200
) = C ×
40
3
(1 +
15
200
)(1 +
15
200
) − C ×
560
3
(1 +
15
200
) + 14000(1 +
15
200
)
    Remove a bracket on the left of the equation:
     
238349
200
 × 1 +
238349
200
 ×
15
200
 = C ×
40
3
(1 +
15
200
)(1 +
15
200
) − C ×
560
3
(1 +
15
200
) + 14000(1 +
15
200
)
    Remove a bracket on the right of the equation:：
     
238349
200
 × 1 +
238349
200
 ×
15
200
 = C ×
40
3
 × 1(1 +
15
200
) + C ×
40
3
 ×
15
200
(1 +
15
200
) − C ×
560
3
(1 +
15
200
) + 14000
    The equation is reduced to :
     
238349
200
 +
715047
8000
 = C ×
40
3
(1 +
15
200
) + C × 1(1 +
15
200
) − C ×
560
3
(1 +
15
200
) + 14000(1 +
15
200
)
    The equation is reduced to :
     
10249007
8000
 = C ×
40
3
(1 +
15
200
) + C × 1(1 +
15
200
) − C ×
560
3
(1 +
15
200
) + 14000(1 +
15
200
)
    Remove a bracket on the right of the equation:：
     
10249007
8000
 = C ×
40
3
 × 1 + C ×
40
3
 ×
15
200
 + C × 1(1 +
15
200
) − C ×
560
3
(1 +
15
200
)
    The equation is reduced to :
     
10249007
8000
 = C ×
40
3
 + C × 1 + C × 1(1 +
15
200
) − C ×
560
3
(1 +
15
200
) + 14000(1 +
15
200
)
    The equation is reduced to :
     
10249007
8000
 =
43
3
 C + C × 1(1 +
15
200
) − C ×
560
3
(1 +
15
200
) + 14000(1 +
15
200
)
    Remove a bracket on the right of the equation:：
     
10249007
8000
 =
43
3
 C + C × 1 × 1 + C × 1 ×
15
200
 − C ×
560
3
(1 +
15
200
) + 14000
    The equation is reduced to :
     
10249007
8000
 =
43
3
 C + C × 1 + C ×
3
40
 − C ×
560
3
(1 +
15
200
) + 14000(1 +
15
200
)
    The equation is reduced to :
     
10249007
8000
 =
1849
120
 C − C ×
560
3
(1 +
15
200
) + 14000(1 +
15
200
)
    Remove a bracket on the right of the equation:：
     
10249007
8000
 =
1849
120
 C − C ×
560
3
 × 1 − C ×
560
3
 ×
15
200
 + 14000(1 +
15
200
)
    The equation is reduced to :
     
10249007
8000
 =
1849
120
 C − C ×
560
3
 − C × 14 + 14000(1 +
15
200
)
    The equation is reduced to :
     
10249007
8000
 = -
22231
120
 C + 14000(1 +
15
200
)
    Remove a bracket on the right of the equation:：
     
10249007
8000
 = -
22231
120
 C + 14000 × 1 + 14000 ×
15
200
    The equation is reduced to :
     
10249007
8000
 = -
22231
120
 C + 14000 + 1050
    The equation is reduced to :
     
10249007
8000
 = -
22231
120
 C + 15050

    Transposition :
     
22231
120
 C = 15050 −
10249007
8000

    Combine the items on the right of the equation:
     
22231
120
 C =
110150993
8000

    The coefficient of the unknown number is reduced to 1 :
      C =
110150993
8000
 ÷
22231
120
        =
110150993
8000
 ×
120
22231
        =
2561651
200
 ×
3
517

    We obtained :
      C =
7684953
103400
    This is the solution of the equation.

    Convert the result to decimal form :
      C = 74.322563



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