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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 7.84 = 18.14*0.552*(x+0.1)/(1+0.552*(x+0.1))*(100-0.1818-0.0098)/100/(1+0.31*0.0098)+0.0338*(x+0.1)/(1.43*0.1) .
    Question type: Equation
    Solution:Original question:
     
196
25
 =
907
50
 ×
69
125
( x +
1
10
) ÷ (1 +
69
125
( x +
1
10
)) × (100 −
909
5000
 −
49
5000
) ÷ 100 ÷ (1 +
31
100
 ×
49
5000
) +
169
5000
( x +
1
10
) ÷ (
143
100
 ×
1
10
)
     Multiply both sides of the equation by:(1 +
69
125
( x +
1
10
))
     
196
25
(1 +
69
125
( x +
1
10
)) =
907
50
 ×
69
125
( x +
1
10
)(100 −
909
5000
 −
49
5000
) ÷ 100 ÷ (1 +
31
100
 ×
49
5000
) +
169
5000
( x +
1
10
) ÷ (
143
100
 ×
1
10
) × (1 +
69
125
( x +
1
10
))
    Remove a bracket on the left of the equation:：
     
196
25
 × 1 +
196
25
 ×
69
125
( x +
1
10
) =
907
50
 ×
69
125
( x +
1
10
)(100 −
909
5000
 −
49
5000
) ÷ 100 ÷ (1 +
31
100
 ×
49
5000
) +
169
5000
( x +
1
10
) ÷ (
143
100
 ×
1
10
) × (1 +
69
125
( x +
1
10
))
    Remove a bracket on the right of the equation:：
     
196
25
 × 1 +
196
25
 ×
69
125
( x +
1
10
) =
907
50
 ×
69
125
 x (100 −
909
5000
 −
49
5000
) ÷ 100 ÷ (1 +
31
100
 ×
49
5000
) +
907
50
 ×
69
125
 ×
1
10
(100 −
909
5000
 −
49
5000
) ÷ 100 ÷ (1 +
31
100
 ×
49
5000
)
    The equation is reduced to :
     
196
25
 +
13524
3125
( x +
1
10
) =
62583
625000
 x (100 −
909
5000
 −
49
5000
) ÷ (1 +
31
100
 ×
49
5000
) +
62583
6250000
(100 −
909
5000
 −
49
5000
) ÷ (1 +
31
100
 ×
49
5000
) +
169
5000
( x +
1
10
) ÷ (
143
100
 ×
1
10
) × (1 +
69
125
( x +
1
10
))
     Multiply both sides of the equation by:(1 +
31
100
 ×
49
5000
)
     
196
25
(1 +
31
100
 ×
49
5000
) +
13524
3125
( x +
1
10
)(1 +
31
100
 ×
49
5000
) =
62583
625000
 x (100 −
909
5000
 −
49
5000
) +
62583
6250000
(100 −
909
5000
 −
49
5000
) ÷ (1 +
31
100
 ×
49
5000
) × (1 +
31
100
 ×
49
5000
) +
169
5000
( x +
1
10
) ÷ (
143
100
 ×
1
10
) × (1 +
69
125
( x +
1
10
))(1 +
31
100
 ×
49
5000
)
    Remove a bracket on the left of the equation:
     
196
25
 × 1 +
196
25
 ×
31
100
 ×
49
5000
 +
13524
3125
( x +
1
10
)(1 +
31
100
 ×
49
5000
) =
62583
625000
 x (100 −
909
5000
 −
49
5000
) +
62583
6250000
(100 −
909
5000
 −
49
5000
) ÷ (1 +
31
100
 ×
49
5000
) × (1 +
31
100
 ×
49
5000
) +
169
5000
( x +
1
10
) ÷ (
143
100
 ×
1
10
) × (1 +
69
125
( x +
1
10
))(1 +
31
100
 ×
49
5000
)
    Remove a bracket on the right of the equation:：
     
196
25
 × 1 +
196
25
 ×
31
100
 ×
49
5000
 +
13524
3125
( x +
1
10
)(1 +
31
100
 ×
49
5000
) =
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
5000
)
    The equation is reduced to :
     
196
25
 +
74431
3125000
 +
13524
3125
( x +
1
10
)(1 +
31
100
 ×
49
5000
) =
62583
6250
 x −
56887947
3125000000
 x −
3066567
3125000000
 x +
62583
6250000
(100 −
909
5000
 −
49
5000
) ÷ (1 +
31
100
 ×
49
5000
) × (1 +
31
100
 ×
49
5000
) +
169
5000
( x +
1
10
)

    The solution of the equation:
        x1≈-1.911594 , keep 6 decimal places
        x2≈1.291022 , 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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