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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 0.8690 = （22.7391*0.8448（x+0.1））/（1+0.8448（x+0.1））*（100-39.72-4.29）/100*1/(1+0.31*4.29)+（3.43（x+0.1））/（1.97*0.101325） .
    Question type: Equation
    Solution:Original question:
     
869
1000
 = (
227391
10000
 ×
528
625
( x +
1
10
)) ÷ (1 +
528
625
( x +
1
10
)) × (100 −
993
25
 −
429
100
) ÷ 100 × 1 ÷ (1 +
31
100
 ×
429
100
) + (
343
100
( x +
1
10
)) ÷ (
197
100
 ×
4053
40000
)
     Multiply both sides of the equation by:(1 +
528
625
( x +
1
10
))
     
869
1000
(1 +
528
625
( x +
1
10
)) = (
227391
10000
 ×
528
625
( x +
1
10
))(100 −
993
25
 −
429
100
) ÷ 100 × 1 ÷ (1 +
31
100
 ×
429
100
) + (
343
100
( x +
1
10
)) ÷ (
197
100
 ×
4053
40000
) × (1 +
528
625
( x +
1
10
))
    Remove a bracket on the left of the equation:：
     
869
1000
 × 1 +
869
1000
 ×
528
625
( x +
1
10
) = (
227391
10000
 ×
528
625
( x +
1
10
))(100 −
993
25
 −
429
100
) ÷ 100 × 1 ÷ (1 +
31
100
 ×
429
100
) + (
343
100
( x +
1
10
)) ÷ (
197
100
 ×
4053
40000
) × (1 +
528
625
( x +
1
10
))
    Remove a bracket on the right of the equation:：
     
869
1000
 × 1 +
869
1000
 ×
528
625
( x +
1
10
) =
227391
10000
 ×
528
625
( x +
1
10
)(100 −
993
25
 −
429
100
) ÷ 100 × 1 ÷ (1 +
31
100
 ×
429
100
) + (
343
100
( x +
1
10
)) ÷ (
197
100
 ×
4053
40000
) × (1 +
528
625
( x +
1
10
))
    The equation is reduced to :
     
869
1000
 +
57354
78125
( x +
1
10
) =
7503903
39062500
( x +
1
10
)(100 −
993
25
 −
429
100
) ÷ (1 +
31
100
 ×
429
100
) + (
343
100
( x +
1
10
)) ÷ (
197
100
 ×
4053
40000
) × (1 +
528
625
( x +
1
10
))
     Multiply both sides of the equation by:(1 +
31
100
 ×
429
100
)
     
869
1000
(1 +
31
100
 ×
429
100
) +
57354
78125
( x +
1
10
)(1 +
31
100
 ×
429
100
) =
7503903
39062500
( x +
1
10
)(100 −
993
25
 −
429
100
) + (
343
100
( x +
1
10
)) ÷ (
197
100
 ×
4053
40000
) × (1 +
528
625
( x +
1
10
))(1 +
31
100
 ×
429
100
)
    Remove a bracket on the left of the equation:
     
869
1000
 × 1 +
869
1000
 ×
31
100
 ×
429
100
 +
57354
78125
( x +
1
10
)(1 +
31
100
 ×
429
100
) =
7503903
39062500
( x +
1
10
)(100 −
993
25
 −
429
100
) + (
343
100
( x +
1
10
)) ÷ (
197
100
 ×
4053
40000
) × (1 +
528
625
( x +
1
10
))(1 +
31
100
 ×
429
100
)
    Remove a bracket on the right of the equation:：
     
869
1000
 × 1 +
869
1000
 ×
31
100
 ×
429
100
 +
57354
78125
( x +
1
10
)(1 +
31
100
 ×
429
100
) =
7503903
39062500
 x (100 −
993
25
 −
429
100
) +
7503903
39062500
 ×
1
10
(100 −
993
25
 −
429
100
) + (
343
100
( x +
1
10
)) ÷ (
197
100
 ×
4053
40000
) × (1 +
528
625
( x +
1
10
))(1 +
31
100
 ×
429
100
)
    The equation is reduced to :
     
869
1000
 +
11556831
10000000
 +
57354
78125
( x +
1
10
)(1 +
31
100
 ×
429
100
) =
7503903
39062500
 x (100 −
993
25
 −
429
100
) +
7503903
390625000
(100 −
993
25
 −
429
100
) + (
343
100
( x +
1
10
)) ÷ (
197
100
 ×
4053
40000
) × (1 +
528
625
( x +
1
10
))(1 +
31
100
 ×
429
100
)

    The solution of the equation:
        x1≈-1.283712 , keep 6 decimal places
        x2≈0.123840 , 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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