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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 207.2615/(1+x/12*7)+647/(1+x/12*13)+0.4635/(1+x/12*24) = 796.925 .
    Question type: Equation
    Solution:Original question:
     
414523
2000
 ÷ (1 + x ÷ 12 × 7) + 647 ÷ (1 + x ÷ 12 × 13) +
927
2000
 ÷ (1 + x ÷ 12 × 24) =
31877
40
     Multiply both sides of the equation by:(1 + x ÷ 12 × 7)
     
414523
2000
 + 647 ÷ (1 + x ÷ 12 × 13) × (1 + x ÷ 12 × 7) +
927
2000
 ÷ (1 + x ÷ 12 × 24) × (1 + x ÷ 12 × 7) =
31877
40
(1 + x ÷ 12 × 7)
    Remove a bracket on the left of the equation:：
     
414523
2000
 + 647 ÷ (1 + x ÷ 12 × 13) × 1 + 647 ÷ (1 + x ÷ 12 × 13) × x ÷ 12 × 7 +
927
2000
 ÷ (1 + x ÷ 12 × 24) × (1 + x ÷ 12 × 7) =
31877
40
(1 + x ÷ 12 × 7)
    Remove a bracket on the right of the equation:：
     
414523
2000
 + 647 ÷ (1 + x ÷ 12 × 13) × 1 + 647 ÷ (1 + x ÷ 12 × 13) × x ÷ 12 × 7 +
927
2000
 ÷ (1 + x ÷ 12 × 24) × (1 + x ÷ 12 × 7) =
31877
40
 × 1 +
31877
40
 x ÷ 12 × 7
    The equation is reduced to :
     
414523
2000
 + 647 ÷ (1 + x ÷ 12 × 13) +
4529
12
 ÷ (1 + x ÷ 12 × 13) × x +
927
2000
 ÷ (1 + x ÷ 12 × 24) × (1 + x ÷ 12 × 7) =
31877
40
 +
223139
480
 x
     Multiply both sides of the equation by:(1 + x ÷ 12 × 13)
     
414523
2000
(1 + x ÷ 12 × 13) + 647 +
4529
12
 x +
927
2000
 ÷ (1 + x ÷ 12 × 24) × (1 + x ÷ 12 × 7)(1 + x ÷ 12 × 13) =
31877
40
(1 + x ÷ 12 × 13) +
223139
480
 x (1 + x ÷ 12 × 13)
    Remove a bracket on the left of the equation:
     
414523
2000
 × 1 +
414523
2000
 x ÷ 12 × 13 + 647 +
4529
12
 x +
927
2000
 ÷ (1 + x ÷ 12 × 24) × (1 + x ÷ 12 × 7) =
31877
40
(1 + x ÷ 12 × 13) +
223139
480
 x (1 + x ÷ 12 × 13)
    Remove a bracket on the right of the equation:：
     
414523
2000
 × 1 +
414523
2000
 x ÷ 12 × 13 + 647 +
4529
12
 x +
927
2000
 ÷ (1 + x ÷ 12 × 24) × (1 + x ÷ 12 × 7) =
31877
40
 × 1 +
31877
40
 x ÷ 12 × 13 +
223139
480
 x (1 + x ÷ 12 × 13)
    The equation is reduced to :
     
414523
2000
 +
5388799
24000
 x + 647 +
4529
12
 x +
927
2000
 ÷ (1 + x ÷ 12 × 24) × (1 + x ÷ 12 × 7)(1 + x ÷ 12 × 13) =
31877
40
 +
414401
480
 x +
223139
480
 x (1 + x ÷ 12 × 13)
    The equation is reduced to :
     
1708523
2000
 +
14446799
24000
 x +
927
2000
 ÷ (1 + x ÷ 12 × 24) × (1 + x ÷ 12 × 7)(1 + x ÷ 12 × 13) =
31877
40
 +
414401
480
 x +
223139
480
 x (1 + x ÷ 12 × 13)
     Multiply both sides of the equation by:(1 + x ÷ 12 × 24)
     
1708523
2000
(1 + x ÷ 12 × 24) +
14446799
24000
 x (1 + x ÷ 12 × 24) +
927
2000
(1 + x ÷ 12 × 7)(1 + x ÷ 12 × 13) =
31877
40
(1 + x ÷ 12 × 24) +
414401
480
 x (1 + x ÷ 12 × 24) +
223139
480
 x (1 + x ÷ 12 × 13)(1 + x ÷ 12 × 24)
    Remove a bracket on the left of the equation:
     
1708523
2000
 × 1 +
1708523
2000
 x ÷ 12 × 24 +
14446799
24000
 x (1 + x ÷ 12 × 24) +
927
2000
(1 + x ÷ 12 × 7)(1 + x ÷ 12 × 13) =
31877
40
(1 + x ÷ 12 × 24) +
414401
480
 x (1 + x ÷ 12 × 24) +
223139
480
 x (1 + x ÷ 12 × 13)(1 + x ÷ 12 × 24)
    Remove a bracket on the right of the equation:：
     
1708523
2000
 × 1 +
1708523
2000
 x ÷ 12 × 24 +
14446799
24000
 x (1 + x ÷ 12 × 24) +
927
2000
(1 + x ÷ 12 × 7)(1 + x ÷ 12 × 13) =
31877
40
 × 1 +
31877
40
 x ÷ 12 × 24 +
414401
480
 x (1 + x ÷ 12 × 24) +
223139
480
 x (1 + x ÷ 12 × 13)
    The equation is reduced to :
     
1708523
2000
 +
1708523
1000
 x +
14446799
24000
 x (1 + x ÷ 12 × 24) +
927
2000
(1 + x ÷ 12 × 7)(1 + x ÷ 12 × 13) =
31877
40
 +
31877
20
 x +
414401
480
 x (1 + x ÷ 12 × 24) +
223139
480
 x (1 + x ÷ 12 × 13)(1 + x ÷ 12 × 24)
    Remove a bracket on the left of the equation:
     
1708523
2000
 +
1708523
1000
 x +
14446799
24000
 x × 1 +
14446799
24000
 x x ÷ 12 × 24 +
927
2000
 =
31877
40
 +
31877
20
 x +
414401
480
 x (1 + x ÷ 12 × 24) +
223139
480
 x (1 + x ÷ 12 × 13)(1 + x ÷ 12 × 24)
    Remove a bracket on the right of the equation:：
     
1708523
2000
 +
1708523
1000
 x +
14446799
24000
 x × 1 +
14446799
24000
 x x ÷ 12 × 24 +
927
2000
 =
31877
40
 +
31877
20
 x +
414401
480
 x × 1 +
414401
480
 x x ÷ 12 × 24 +
223139
480
    The equation is reduced to :
     
1708523
2000
 +
1708523
1000
 x +
14446799
24000
 x +
14446799
12000
 x x +
927
2000
(1 + x ÷ 12 × 7)(1 + x ÷ 12 × 13) =
31877
40
 +
31877
20
 x +
414401
480
 x +
414401
240
 x x +
223139
480
 x (1 + x ÷ 12 × 13)(1 + x ÷ 12 × 24)

    The solution of the equation:
        x1≈-1.517162 , keep 6 decimal places
        x2≈-0.923077 , keep 6 decimal places
        x3≈0.075610 , keep 6 decimal places    
    There are 3 solution(s).

解程的详细方法请参阅：《方程的解法》


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