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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 109.72/(1+(x/12*3))+93.26/(1+(x/12*6))+129.85/(1+x)-296.25 = 0 .
    Question type: Equation
    Solution:Original question:
     
2743
25
 ÷ (1 + ( x ÷ 12 × 3)) +
4663
50
 ÷ (1 + ( x ÷ 12 × 6)) +
2597
20
 ÷ (1 + x ) −
1185
4
 = 0
     Multiply both sides of the equation by:(1 + ( x ÷ 12 × 3))
     
2743
25
 +
4663
50
 ÷ (1 + ( x ÷ 12 × 6)) × (1 + ( x ÷ 12 × 3)) +
2597
20
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) −
1185
4
(1 + ( x ÷ 12 × 3)) = 0
    Remove a bracket on the left of the equation:：
     
2743
25
 +
4663
50
 ÷ (1 + ( x ÷ 12 × 6)) × 1 +
4663
50
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3) +
2597
20
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) −
1185
4
(1 + ( x ÷ 12 × 3)) = 0
    The equation is reduced to :
     
2743
25
 +
4663
50
 ÷ (1 + ( x ÷ 12 × 6)) +
4663
50
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3) +
2597
20
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) −
1185
4
(1 + ( x ÷ 12 × 3)) = 0
     Multiply both sides of the equation by:(1 + ( x ÷ 12 × 6))
     
2743
25
(1 + ( x ÷ 12 × 6)) +
4663
50
 +
4663
50
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
2597
20
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3))(1 + ( x ÷ 12 × 6)) −
1185
4
 = 0
    Remove a bracket on the left of the equation:
     
2743
25
 × 1 +
2743
25
( x ÷ 12 × 6) +
4663
50
 +
4663
50
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
2597
20
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) = 0
    The equation is reduced to :
     
2743
25
 +
2743
25
( x ÷ 12 × 6) +
4663
50
 +
4663
50
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
2597
20
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3))(1 + ( x ÷ 12 × 6)) = 0
    The equation is reduced to :
     
10149
50
 +
2743
25
( x ÷ 12 × 6) +
4663
50
 ÷ (1 + ( x ÷ 12 × 6)) × ( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
2597
20
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3))(1 + ( x ÷ 12 × 6)) −
1185
4
 = 0
     Multiply both sides of the equation by:(1 + ( x ÷ 12 × 6))
     
10149
50
(1 + ( x ÷ 12 × 6)) +
2743
25
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6)) +
4663
50
( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
2597
20
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3))(1 + ( x ÷ 12 × 6)) = 0
    Remove a bracket on the left of the equation:
     
10149
50
 × 1 +
10149
50
( x ÷ 12 × 6) +
2743
25
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6)) +
4663
50
( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
2597
20
 ÷ (1 + x ) = 0
    The equation is reduced to :
     
10149
50
 +
10149
50
( x ÷ 12 × 6) +
2743
25
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6)) +
4663
50
( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) +
2597
20
 ÷ (1 + x ) × (1 + ( x ÷ 12 × 3)) = 0
     Multiply both sides of the equation by:(1 + x )
     
10149
50
(1 + x ) +
10149
50
( x ÷ 12 × 6)(1 + x ) +
2743
25
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
4663
50
( x ÷ 12 × 3)(1 + ( x ÷ 12 × 6)) = 0
    Remove a bracket on the left of the equation:
     
10149
50
 × 1 +
10149
50
 x +
10149
50
( x ÷ 12 × 6)(1 + x ) +
2743
25
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
4663
50
 = 0
    The equation is reduced to :
     
10149
50
 +
10149
50
 x +
10149
50
( x ÷ 12 × 6)(1 + x ) +
2743
25
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
4663
50
( x ÷ 12 × 3) = 0
    Remove a bracket on the left of the equation:
     
10149
50
 +
10149
50
 x +
10149
50
 x ÷ 12 × 6(1 + x ) +
2743
25
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) = 0
    The equation is reduced to :
     
10149
50
 +
10149
50
 x +
10149
100
 x (1 + x ) +
2743
25
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
4663
50
( x ÷ 12 × 3) = 0
    Remove a bracket on the left of the equation:
     
10149
50
 +
10149
50
 x +
10149
100
 x × 1 +
10149
100
 x x +
2743
25
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6)) = 0
    The equation is reduced to :
     
10149
50
 +
10149
50
 x +
10149
100
 x +
10149
100
 x x +
2743
25
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) = 0
    The equation is reduced to :
     
10149
50
 +
30447
100
 x +
10149
100
 x x +
2743
25
( x ÷ 12 × 6)(1 + ( x ÷ 12 × 6))(1 + x ) +
4663
50
( x ÷ 12 × 3) = 0
    Remove a bracket on the left of the equation:
     
10149
50
 +
30447
100
 x +
10149
100
 x x +
2743
25
 x ÷ 12 × 6(1 + ( x ÷ 12 × 6))(1 + x ) = 0
    The equation is reduced to :
     
10149
50
 +
30447
100
 x +
10149
100
 x x +
2743
50
 x (1 + ( x ÷ 12 × 6))(1 + x ) +
4663
50
( x ÷ 12 × 3) = 0
    Remove a bracket on the left of the equation:
     
10149
50
 +
30447
100
 x +
10149
100
 x x +
2743
50
 x × 1(1 + x ) +
2743
50
 x = 0

    The solution of the equation:
        x1≈-3.153221 , keep 6 decimal places
        x2≈-1.505497 , keep 6 decimal places
        x3≈0.208085 , 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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