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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 156.45/(1+(x/12*3))+132.98/(1+(x/12*6))+185.13/(1+x)-422.41 = 0 .
    Question type: Equation
    Solution:Original question:
     
3129
20
 ÷ (1 + ( x ÷ 12 × 3)) +
6649
50
 ÷ (1 + ( x ÷ 12 × 6)) +
18513
100
 ÷ (1 + x ) −
42241
100
 = 0
     Multiply both sides of the equation by:(1 + ( x ÷ 12 × 3))
     
3129
20
 +
6649
50
 ÷ (1 + ( x ÷ 12 × 6)) × (1 + ( x ÷ 12 × 3)) +
18513
100
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) −
42241
100
(1 + ( x ÷ 12 × 3)) = 0
    Remove a bracket on the left of the equation:：
     
3129
20
 +
6649
50
 ÷ (1 + ( x ÷ 12 × 6)) × 1 +
6649
50
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3) +
18513
100
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) −
42241
100
(1 + ( x ÷ 12 × 3)) = 0
    The equation is reduced to :
     
3129
20
 +
6649
50
 ÷ (1 + ( x ÷ 12 × 6)) +
6649
50
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3) +
18513
100
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) −
42241
100
(1 + ( x ÷ 12 × 3)) = 0
     Multiply both sides of the equation by:(1 + ( x ÷ 12 × 6))
     
3129
20
(1 + ( x ÷ 12 × 6)) +
6649
50
 +
6649
50
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
18513
100
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3))(1 + ( x ÷ 12 × 6)) −
42241
100
 = 0
    Remove a bracket on the left of the equation:
     
3129
20
 × 1 +
3129
20
( x ÷ 12 × 6) +
6649
50
 +
6649
50
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
18513
100
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) = 0
    The equation is reduced to :
     
3129
20
 +
3129
20
( x ÷ 12 × 6) +
6649
50
 +
6649
50
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
18513
100
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3))(1 + ( x ÷ 12 × 6)) = 0
    The equation is reduced to :
     
28943
100
 +
3129
20
( x ÷ 12 × 6) +
6649
50
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
18513
100
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3))(1 + ( x ÷ 12 × 6)) −
42241
100
 = 0
     Multiply both sides of the equation by:(1 + ( x ÷ 12 × 6))
     
28943
100
(1 + ( x ÷ 12 × 6)) +
3129
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6)) +
6649
50
( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
18513
100
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3))(1 + ( x ÷ 12 × 6)) = 0
    Remove a bracket on the left of the equation:
     
28943
100
 × 1 +
28943
100
( x ÷ 12 × 6) +
3129
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6)) +
6649
50
( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
18513
100
 ÷ (1 + x ) = 0
    The equation is reduced to :
     
28943
100
 +
28943
100
( x ÷ 12 × 6) +
3129
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6)) +
6649
50
( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
18513
100
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) = 0
     Multiply both sides of the equation by:(1 + x )
     
28943
100
(1 + x ) +
28943
100
( x ÷ 12 × 6)(1 + x ) +
3129
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
6649
50
( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) = 0
    Remove a bracket on the left of the equation:
     
28943
100
 × 1 +
28943
100
 x +
28943
100
( x ÷ 12 × 6)(1 + x ) +
3129
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
6649
50
 = 0
    The equation is reduced to :
     
28943
100
 +
28943
100
 x +
28943
100
( x ÷ 12 × 6)(1 + x ) +
3129
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
6649
50
( x ÷ 12 × 3) = 0
    Remove a bracket on the left of the equation:
     
28943
100
 +
28943
100
 x +
28943
100
 x ÷ 12 × 6(1 + x ) +
3129
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) = 0
    The equation is reduced to :
     
28943
100
 +
28943
100
 x +
28943
200
 x (1 + x ) +
3129
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
6649
50
( x ÷ 12 × 3) = 0
    Remove a bracket on the left of the equation:
     
28943
100
 +
28943
100
 x +
28943
200
 x × 1 +
28943
200
 x x +
3129
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6)) = 0
    The equation is reduced to :
     
28943
100
 +
28943
100
 x +
28943
200
 x +
28943
200
 x x +
3129
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) = 0
    The equation is reduced to :
     
28943
100
 +
86829
200
 x +
28943
200
 x x +
3129
20
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
6649
50
( x ÷ 12 × 3) = 0
    Remove a bracket on the left of the equation:
     
28943
100
 +
86829
200
 x +
28943
200
 x x +
3129
20
 x ÷ 12 × 6(1 + ( x ÷ 12 × 6))(1 + x ) = 0
    The equation is reduced to :
     
28943
100
 +
86829
200
 x +
28943
200
 x x +
3129
40
 x (1 + ( x ÷ 12 × 6))(1 + x ) +
6649
50
( x ÷ 12 × 3) = 0
    Remove a bracket on the left of the equation:
     
28943
100
 +
86829
200
 x +
28943
200
 x x +
3129
40
 x × 1(1 + x ) +
3129
40
 x = 0

    The solution of the equation:
        x1≈-3.153199 , keep 6 decimal places
        x2≈-1.505465 , keep 6 decimal places
        x3≈0.208060 , 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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