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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 25.2/（1+x/12*2）+16.8/（1+x/12*3）+8.4/（1+x/12*4） = 47.6 .
    Question type: Equation
    Solution:Original question:
     
126
5
 ÷ (1 + x ÷ 12 × 2) +
84
5
 ÷ (1 + x ÷ 12 × 3) +
42
5
 ÷ (1 + x ÷ 12 × 4) =
238
5
     Multiply both sides of the equation by:(1 + x ÷ 12 × 2)
     
126
5
 +
84
5
 ÷ (1 + x ÷ 12 × 3) × (1 + x ÷ 12 × 2) +
42
5
 ÷ (1 + x ÷ 12 × 4) × (1 + x ÷ 12 × 2) =
238
5
(1 + x ÷ 12 × 2)
    Remove a bracket on the left of the equation:：
     
126
5
 +
84
5
 ÷ (1 + x ÷ 12 × 3) × 1 +
84
5
 ÷ (1 + x ÷ 12 × 3) × x ÷ 12 × 2 +
42
5
 ÷ (1 + x ÷ 12 × 4) × (1 + x ÷ 12 × 2) =
238
5
(1 + x ÷ 12 × 2)
    Remove a bracket on the right of the equation:：
     
126
5
 +
84
5
 ÷ (1 + x ÷ 12 × 3) × 1 +
84
5
 ÷ (1 + x ÷ 12 × 3) × x ÷ 12 × 2 +
42
5
 ÷ (1 + x ÷ 12 × 4) × (1 + x ÷ 12 × 2) =
238
5
 × 1 +
238
5
 x ÷ 12 × 2
    The equation is reduced to :
     
126
5
 +
84
5
 ÷ (1 + x ÷ 12 × 3) +
14
5
 ÷ (1 + x ÷ 12 × 3) × x +
42
5
 ÷ (1 + x ÷ 12 × 4) × (1 + x ÷ 12 × 2) =
238
5
 +
119
15
 x
     Multiply both sides of the equation by:(1 + x ÷ 12 × 3)
     
126
5
(1 + x ÷ 12 × 3) +
84
5
 +
14
5
 x +
42
5
 ÷ (1 + x ÷ 12 × 4) × (1 + x ÷ 12 × 2)(1 + x ÷ 12 × 3) =
238
5
(1 + x ÷ 12 × 3) +
119
15
 x (1 + x ÷ 12 × 3)
    Remove a bracket on the left of the equation:
     
126
5
 × 1 +
126
5
 x ÷ 12 × 3 +
84
5
 +
14
5
 x +
42
5
 ÷ (1 + x ÷ 12 × 4) × (1 + x ÷ 12 × 2) =
238
5
(1 + x ÷ 12 × 3) +
119
15
 x (1 + x ÷ 12 × 3)
    Remove a bracket on the right of the equation:：
     
126
5
 × 1 +
126
5
 x ÷ 12 × 3 +
84
5
 +
14
5
 x +
42
5
 ÷ (1 + x ÷ 12 × 4) × (1 + x ÷ 12 × 2) =
238
5
 × 1 +
238
5
 x ÷ 12 × 3 +
119
15
 x (1 + x ÷ 12 × 3)
    The equation is reduced to :
     
126
5
 +
63
10
 x +
84
5
 +
14
5
 x +
42
5
 ÷ (1 + x ÷ 12 × 4) × (1 + x ÷ 12 × 2)(1 + x ÷ 12 × 3) =
238
5
 +
119
10
 x +
119
15
 x (1 + x ÷ 12 × 3)
    The equation is reduced to :
     42 +
91
10
 x +
42
5
 ÷ (1 + x ÷ 12 × 4) × (1 + x ÷ 12 × 2)(1 + x ÷ 12 × 3) =
238
5
 +
119
10
 x +
119
15
 x (1 + x ÷ 12 × 3)
     Multiply both sides of the equation by:(1 + x ÷ 12 × 4)
     42(1 + x ÷ 12 × 4) +
91
10
 x (1 + x ÷ 12 × 4) +
42
5
(1 + x ÷ 12 × 2)(1 + x ÷ 12 × 3) =
238
5
(1 + x ÷ 12 × 4) +
119
10
 x (1 + x ÷ 12 × 4) +
119
15
 x (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 4)
    Remove a bracket on the left of the equation:
     42 × 1 + 42 x ÷ 12 × 4 +
91
10
 x (1 + x ÷ 12 × 4) +
42
5
(1 + x ÷ 12 × 2)(1 + x ÷ 12 × 3) =
238
5
(1 + x ÷ 12 × 4) +
119
10
 x (1 + x ÷ 12 × 4) +
119
15
 x (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 4)
    Remove a bracket on the right of the equation:：
     42 × 1 + 42 x ÷ 12 × 4 +
91
10
 x (1 + x ÷ 12 × 4) +
42
5
(1 + x ÷ 12 × 2)(1 + x ÷ 12 × 3) =
238
5
 × 1 +
238
5
 x ÷ 12 × 4 +
119
10
 x (1 + x ÷ 12 × 4) +
119
15
 x (1 + x ÷ 12 × 3)
    The equation is reduced to :
     42 + 14 x +
91
10
 x (1 + x ÷ 12 × 4) +
42
5
(1 + x ÷ 12 × 2)(1 + x ÷ 12 × 3) =
238
5
 +
238
15
 x +
119
10
 x (1 + x ÷ 12 × 4) +
119
15
 x (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 4)
    Remove a bracket on the left of the equation:
     42 + 14 x +
91
10
 x × 1 +
91
10
 x x ÷ 12 × 4 +
42
5
 =
238
5
 +
238
15
 x +
119
10
 x (1 + x ÷ 12 × 4) +
119
15
 x (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 4)
    Remove a bracket on the right of the equation:：
     42 + 14 x +
91
10
 x × 1 +
91
10
 x x ÷ 12 × 4 +
42
5
 =
238
5
 +
238
15
 x +
119
10
 x × 1 +
119
10
 x x ÷ 12 × 4 +
119
15
    The equation is reduced to :
     42 + 14 x +
91
10
 x +
91
30
 x x +
42
5
(1 + x ÷ 12 × 2)(1 + x ÷ 12 × 3) =
238
5
 +
238
15
 x +
119
10
 x +
119
30
 x x +
119
15
 x (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 4)
    The equation is reduced to :
     42 +
231
10
 x +
91
30
 x x +
42
5
(1 + x ÷ 12 × 2)(1 + x ÷ 12 × 3) =
238
5
 +
833
30
 x +
119
30
 x x +
119
15
 x (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 4)
    Remove a bracket on the left of the equation:
     42 +
231
10
 x +
91
30
 x x +
42
5
 × 1(1 + x ÷ 12 × 3) +
42
5
 x ÷ 12 =
238
5
 +
833
30
 x +
119
30
 x x +
119
15
 x (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 4)
    Remove a bracket on the right of the equation:：
     42 +
231
10
 x +
91
30
 x x +
42
5
 × 1(1 + x ÷ 12 × 3) +
42
5
 x ÷ 12 =
238
5
 +
833
30
 x +
119
30
 x x +
119
15
 x × 1(1 + x ÷ 12 × 4) +
119
15
 x
    The equation is reduced to :
     42 +
231
10
 x +
91
30
 x x +
42
5
(1 + x ÷ 12 × 3) +
7
5
 x (1 + x ÷ 12 × 3) =
238
5
 +
833
30
 x +
119
30
 x x +
119
15
 x (1 + x ÷ 12 × 4) +
119
60
 x x
    Remove a bracket on the left of the equation:
     42 +
231
10
 x +
91
30
 x x +
42
5
 × 1 +
42
5
 x ÷ 12 × 3 =
238
5
 +
833
30
 x +
119
30
 x x +
119
15
 x (1 + x ÷ 12 × 4) +
119
60
 x x
    Remove a bracket on the right of the equation:：
     42 +
231
10
 x +
91
30
 x x +
42
5
 × 1 +
42
5
 x ÷ 12 × 3 =
238
5
 +
833
30
 x +
119
30
 x x +
119
15
 x × 1 +
119
15
 x x

    The solution of the equation:
        x1≈-4.891038 , keep 6 decimal places
        x2≈-3.257169 , keep 6 decimal places
        x3≈0.265853 , 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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