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On line Solution of Monovariate 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 x = （24.1*0.449*0.1）/（1+0.449*0.1）*（100-1.06-9.66）/100*1/(1+0.31*1.06)+2.86/（1.36*0.101325） .
    Question type: Equation
    Solution:Original question:
      x = (
241
10
 ×
449
1000
 ×
1
10
) ÷ (1 +
449
1000
 ×
1
10
) × (100 −
53
50
 −
483
50
) ÷ 100 × 1 ÷ (1 +
31
100
 ×
53
50
) +
143
50
 ÷ (
34
25
 ×
4053
40000
)
     Multiply both sides of the equation by:(1 +
449
1000
 ×
1
10
)
      x (1 +
449
1000
 ×
1
10
) = (
241
10
 ×
449
1000
 ×
1
10
)(100 −
53
50
 −
483
50
) ÷ 100 × 1 ÷ (1 +
31
100
 ×
53
50
) +
143
50
 ÷ (
34
25
 ×
4053
40000
) × (1 +
449
1000
 ×
1
10
)
    Remove a bracket on the left of the equation:：
      x × 1 + x ×
449
1000
 ×
1
10
 = (
241
10
 ×
449
1000
 ×
1
10
)(100 −
53
50
 −
483
50
) ÷ 100 × 1 ÷ (1 +
31
100
 ×
53
50
) +
143
50
 ÷ (
34
25
 ×
4053
40000
) × (1 +
449
1000
 ×
1
10
)
    Remove a bracket on the right of the equation:：
      x × 1 + x ×
449
1000
 ×
1
10
 =
241
10
 ×
449
1000
 ×
1
10
(100 −
53
50
 −
483
50
) ÷ 100 × 1 ÷ (1 +
31
100
 ×
53
50
) +
143
50
 ÷ (
34
25
 ×
4053
40000
) × (1 +
449
1000
 ×
1
10
)
    The equation is reduced to :
      x × 1 + x ×
449
10000
 =
108209
10000000
(100 −
53
50
 −
483
50
) ÷ (1 +
31
100
 ×
53
50
) +
143
50
 ÷ (
34
25
 ×
4053
40000
) × (1 +
449
1000
 ×
1
10
)
    The equation is reduced to :
     
10449
10000
 x =
108209
10000000
(100 −
53
50
 −
483
50
) ÷ (1 +
31
100
 ×
53
50
) +
143
50
 ÷ (
34
25
 ×
4053
40000
) × (1 +
449
1000
 ×
1
10
)
     Multiply both sides of the equation by:(1 +
31
100
 ×
53
50
)
     
10449
10000
 x (1 +
31
100
 ×
53
50
) =
108209
10000000
(100 −
53
50
 −
483
50
) +
143
50
 ÷ (
34
25
 ×
4053
40000
) × (1 +
449
1000
 ×
1
10
)(1 +
31
100
 ×
53
50
)
    Remove a bracket on the left of the equation:
     
10449
10000
 x × 1 +
10449
10000
 x ×
31
100
 ×
53
50
 =
108209
10000000
(100 −
53
50
 −
483
50
) +
143
50
 ÷ (
34
25
 ×
4053
40000
) × (1 +
449
1000
 ×
1
10
)(1 +
31
100
 ×
53
50
)
    Remove a bracket on the right of the equation:：
     
10449
10000
 x × 1 +
10449
10000
 x ×
31
100
 ×
53
50
 =
108209
10000000
 × 100 −
108209
10000000
 ×
53
50
 −
108209
10000000
 ×
483
50
 +
143
50
 ÷ (
34
25
 ×
4053
40000
) × (1 +
449
1000
 ×
1
10
)(1 +
31
100
 ×
53
50
)
    The equation is reduced to :
     
10449
10000
 x +
17167707
50000000
 x =
108209
100000
 −
5735077
500000000
 −
52264947
500000000
 +
143
50
 ÷ (
34
25
 ×
4053
40000
) × (1 +
449
1000
 ×
1
10
)(1 +
31
100
 ×
53
50
)

    
        x≈21.450319 , keep 6 decimal places    
    There are 1 solution(s).

解一元一次方程的详细方法请参阅：《一元一次方程的解法》


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