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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 122.45/(1+(x/12*3))+104.08/(1+(x/12*6))+144.88/(1+x)-330.6 = 0 .
    Question type: Equation
    Solution:Original question:
     
2449
20
 ÷ (1 + ( x ÷ 12 × 3)) +
2602
25
 ÷ (1 + ( x ÷ 12 × 6)) +
3622
25
 ÷ (1 + x ) −
1653
5
 = 0
     Multiply both sides of the equation by:(1 + ( x ÷ 12 × 3))
     
2449
20
 +
2602
25
 ÷ (1 + ( x ÷ 12 × 6)) × (1 + ( x ÷ 12 × 3)) +
3622
25
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) −
1653
5
(1 + ( x ÷ 12 × 3)) = 0
    Remove a bracket on the left of the equation:：
     
2449
20
 +
2602
25
 ÷ (1 + ( x ÷ 12 × 6)) × 1 +
2602
25
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3) +
3622
25
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) −
1653
5
(1 + ( x ÷ 12 × 3)) = 0
    The equation is reduced to :
     
2449
20
 +
2602
25
 ÷ (1 + ( x ÷ 12 × 6)) +
2602
25
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3) +
3622
25
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) −
1653
5
(1 + ( x ÷ 12 × 3)) = 0
     Multiply both sides of the equation by:(1 + ( x ÷ 12 × 6))
     
2449
20
(1 + ( x ÷ 12 × 6)) +
2602
25
 +
2602
25
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
3622
25
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3))(1 + ( x ÷ 12 × 6)) −
1653
5
 = 0
    Remove a bracket on the left of the equation:
     
2449
20
 × 1 +
2449
20
( x ÷ 12 × 6) +
2602
25
 +
2602
25
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
3622
25
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) = 0
    The equation is reduced to :
     
2449
20
 +
2449
20
( x ÷ 12 × 6) +
2602
25
 +
2602
25
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
3622
25
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3))(1 + ( x ÷ 12 × 6)) = 0
    The equation is reduced to :
     
22653
100
 +
2449
20
( x ÷ 12 × 6) +
2602
25
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
3622
25
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3))(1 + ( x ÷ 12 × 6)) −
1653
5
 = 0
     Multiply both sides of the equation by:(1 + ( x ÷ 12 × 6))
     
22653
100
(1 + ( x ÷ 12 × 6)) +
2449
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6)) +
2602
25
( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
3622
25
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3))(1 + ( x ÷ 12 × 6)) = 0
    Remove a bracket on the left of the equation:
     
22653
100
 × 1 +
22653
100
( x ÷ 12 × 6) +
2449
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6)) +
2602
25
( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
3622
25
 ÷ (1 + x ) = 0
    The equation is reduced to :
     
22653
100
 +
22653
100
( x ÷ 12 × 6) +
2449
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6)) +
2602
25
( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
3622
25
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) = 0
     Multiply both sides of the equation by:(1 + x )
     
22653
100
(1 + x ) +
22653
100
( x ÷ 12 × 6)(1 + x ) +
2449
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
2602
25
( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) = 0
    Remove a bracket on the left of the equation:
     
22653
100
 × 1 +
22653
100
 x +
22653
100
( x ÷ 12 × 6)(1 + x ) +
2449
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
2602
25
 = 0
    The equation is reduced to :
     
22653
100
 +
22653
100
 x +
22653
100
( x ÷ 12 × 6)(1 + x ) +
2449
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
2602
25
( x ÷ 12 × 3) = 0
    Remove a bracket on the left of the equation:
     
22653
100
 +
22653
100
 x +
22653
100
 x ÷ 12 × 6(1 + x ) +
2449
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) = 0
    The equation is reduced to :
     
22653
100
 +
22653
100
 x +
22653
200
 x (1 + x ) +
2449
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
2602
25
( x ÷ 12 × 3) = 0
    Remove a bracket on the left of the equation:
     
22653
100
 +
22653
100
 x +
22653
200
 x × 1 +
22653
200
 x x +
2449
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6)) = 0
    The equation is reduced to :
     
22653
100
 +
22653
100
 x +
22653
200
 x +
22653
200
 x x +
2449
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) = 0
    The equation is reduced to :
     
22653
100
 +
67959
200
 x +
22653
200
 x x +
2449
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
2602
25
( x ÷ 12 × 3) = 0
    Remove a bracket on the left of the equation:
     
22653
100
 +
67959
200
 x +
22653
200
 x x +
2449
20
 x ÷ 12 × 6(1 + ( x ÷ 12 × 6))(1 + x ) = 0
    The equation is reduced to :
     
22653
100
 +
67959
200
 x +
22653
200
 x x +
2449
40
 x (1 + ( x ÷ 12 × 6))(1 + x ) +
2602
25
( x ÷ 12 × 3) = 0
    Remove a bracket on the left of the equation:
     
22653
100
 +
67959
200
 x +
22653
200
 x x +
2449
40
 x × 1(1 + x ) +
2449
40
 x = 0

    The solution of the equation:
        x1≈-3.153176 , keep 6 decimal places
        x2≈-1.505436 , keep 6 decimal places
        x3≈0.208038 , 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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