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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 8.16 = 18.14*0.552*(x+0.1)/(1+0.552*(x+0.1))*(100-0.1818-0.0098)/100/(1+0.31*0.98)+3.38*(x+0.1)/(1.43*0.1) .
    Question type: Equation
    Solution:Original question:
     
204
25
 =
907
50
 ×
69
125
( x +
1
10
) ÷ (1 +
69
125
( x +
1
10
)) × (100 −
909
5000
 −
49
5000
) ÷ 100 ÷ (1 +
31
100
 ×
49
50
) +
169
50
( x +
1
10
) ÷ (
143
100
 ×
1
10
)
     Multiply both sides of the equation by:(1 +
69
125
( x +
1
10
))
     
204
25
(1 +
69
125
( x +
1
10
)) =
907
50
 ×
69
125
( x +
1
10
)(100 −
909
5000
 −
49
5000
) ÷ 100 ÷ (1 +
31
100
 ×
49
50
) +
169
50
( x +
1
10
) ÷ (
143
100
 ×
1
10
) × (1 +
69
125
( x +
1
10
))
    Remove a bracket on the left of the equation:：
     
204
25
 × 1 +
204
25
 ×
69
125
( x +
1
10
) =
907
50
 ×
69
125
( x +
1
10
)(100 −
909
5000
 −
49
5000
) ÷ 100 ÷ (1 +
31
100
 ×
49
50
) +
169
50
( x +
1
10
) ÷ (
143
100
 ×
1
10
) × (1 +
69
125
( x +
1
10
))
    Remove a bracket on the right of the equation:：
     
204
25
 × 1 +
204
25
 ×
69
125
( x +
1
10
) =
907
50
 ×
69
125
 x (100 −
909
5000
 −
49
5000
) ÷ 100 ÷ (1 +
31
100
 ×
49
50
) +
907
50
 ×
69
125
 ×
1
10
(100 −
909
5000
 −
49
5000
) ÷ 100 ÷ (1 +
31
100
 ×
49
50
)
    The equation is reduced to :
     
204
25
 +
14076
3125
( x +
1
10
) =
62583
625000
 x (100 −
909
5000
 −
49
5000
) ÷ (1 +
31
100
 ×
49
50
) +
62583
6250000
(100 −
909
5000
 −
49
5000
) ÷ (1 +
31
100
 ×
49
50
) +
169
50
( x +
1
10
) ÷ (
143
100
 ×
1
10
) × (1 +
69
125
( x +
1
10
))
     Multiply both sides of the equation by:(1 +
31
100
 ×
49
50
)
     
204
25
(1 +
31
100
 ×
49
50
) +
14076
3125
( x +
1
10
)(1 +
31
100
 ×
49
50
) =
62583
625000
 x (100 −
909
5000
 −
49
5000
) +
62583
6250000
(100 −
909
5000
 −
49
5000
) ÷ (1 +
31
100
 ×
49
50
) × (1 +
31
100
 ×
49
50
) +
169
50
( x +
1
10
) ÷ (
143
100
 ×
1
10
) × (1 +
69
125
( x +
1
10
))(1 +
31
100
 ×
49
50
)
    Remove a bracket on the left of the equation:
     
204
25
 × 1 +
204
25
 ×
31
100
 ×
49
50
 +
14076
3125
( x +
1
10
)(1 +
31
100
 ×
49
50
) =
62583
625000
 x (100 −
909
5000
 −
49
5000
) +
62583
6250000
(100 −
909
5000
 −
49
5000
) ÷ (1 +
31
100
 ×
49
50
) × (1 +
31
100
 ×
49
50
) +
169
50
( x +
1
10
) ÷ (
143
100
 ×
1
10
) × (1 +
69
125
( x +
1
10
))(1 +
31
100
 ×
49
50
)
    Remove a bracket on the right of the equation:：
     
204
25
 × 1 +
204
25
 ×
31
100
 ×
49
50
 +
14076
3125
( x +
1
10
)(1 +
31
100
 ×
49
50
) =
62583
625000
 x × 100 −
62583
625000
 x ×
909
5000
 −
62583
625000
 x ×
49
5000
 +
62583
6250000
(100 −
909
5000
 −
49
5000
) ÷ (1 +
31
100
 ×
49
50
)
    The equation is reduced to :
     
204
25
 +
77469
31250
 +
14076
3125
( x +
1
10
)(1 +
31
100
 ×
49
50
) =
62583
6250
 x −
56887947
3125000000
 x −
3066567
3125000000
 x +
62583
6250000
(100 −
909
5000
 −
49
5000
) ÷ (1 +
31
100
 ×
49
50
) × (1 +
31
100
 ×
49
50
) +
169
50
( x +
1
10
)

    The solution of the equation:
        x1≈-1.911594 , keep 6 decimal places
        x2≈2.481430 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》


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