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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 3.1288 = （（18.92*0.76（x+0.1））/（1+0.76（x+0.1））*（（100-18.25-1.35）/100）*（1/(1+0.31*1.35）+（（2（x+0.1））/（1.47*0.101325）） ) ) .
    Question type: Equation
    Solution:Original question:
     
3911
1250
 = ((
473
25
 ×
19
25
( x +
1
10
)) ÷ (1 +
19
25
( x +
1
10
)) × ((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))))
    Remove a bracket on the right of the equation:：
     
3911
1250
 = (
473
25
 ×
19
25
( x +
1
10
)) ÷ (1 +
19
25
( x +
1
10
)) × ((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
     Multiply both sides of the equation by:(1 +
19
25
( x +
1
10
))
     
3911
1250
(1 +
19
25
( x +
1
10
)) = (
473
25
 ×
19
25
( x +
1
10
))((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
3911
1250
 × 1 +
3911
1250
 ×
19
25
( x +
1
10
) = (
473
25
 ×
19
25
( x +
1
10
))((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
    Remove a bracket on the right of the equation:：
     
3911
1250
 × 1 +
3911
1250
 ×
19
25
( x +
1
10
) =
473
25
 ×
19
25
( x +
1
10
)((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
    The equation is reduced to :
     
3911
1250
 +
74309
31250
( x +
1
10
) =
8987
625
( x +
1
10
)((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
3911
1250
 +
74309
31250
 x +
74309
31250
 ×
1
10
 =
8987
625
( x +
1
10
)((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
    Remove a bracket on the right of the equation:：
     
3911
1250
 +
74309
31250
 x +
74309
31250
 ×
1
10
 =
8987
625
 x ((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))) +
8987
625
 ×
1
10
((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
    The equation is reduced to :
     
3911
1250
 +
74309
31250
 x +
74309
312500
 =
8987
625
 x ((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))) +
8987
6250
((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
    The equation is reduced to :
     
1052059
312500
 +
74309
31250
 x =
8987
625
 x ((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))) +
8987
6250
((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
    Remove a bracket on the right of the equation:：
     
1052059
312500
 +
74309
31250
 x =
8987
625
 x (100 −
73
4
 −
27
20
) ÷ 100 × (1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))) +
8987
6250
((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
    The equation is reduced to :
     
1052059
312500
 +
74309
31250
 x =
8987
62500
 x (100 −
73
4
 −
27
20
)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))) +
8987
6250
((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
    Remove a bracket on the right of the equation:：
     
1052059
312500
 +
74309
31250
 x =
8987
62500
 x × 100(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))) −
8987
62500
 x ×
73
4
(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))) −
8987
62500
 x ×
27
20
(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
    The equation is reduced to :
     
1052059
312500
 +
74309
31250
 x =
8987
625
 x (1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))) −
656051
250000
 x (1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))) −
242649
1250000
 x (1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))) +
8987
6250
((100 −
73
4
 −
27
20
) ÷ 100)(1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
    Remove a bracket on the right of the equation:：
     
1052059
312500
 +
74309
31250
 x =
8987
625
 x × 1 ÷ (1 +
31
100
 ×
27
20
) +
8987
625
 x ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)) −
656051
250000
 x (1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))) −
242649
1250000
 x
    The equation is reduced to :
     
1052059
312500
 +
74309
31250
 x =
8987
625
 x ÷ (1 +
31
100
 ×
27
20
) +
8987
625
 x ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)) −
656051
250000
 x (1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))) −
242649
1250000
 x (1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))
     Multiply both sides of the equation by:(1 +
31
100
 ×
27
20
)
     
1052059
312500
(1 +
31
100
 ×
27
20
) +
74309
31250
 x (1 +
31
100
 ×
27
20
) =
8987
625
 x +
8987
625
 x ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))(1 +
31
100
 ×
27
20
) −
656051
250000
 x (1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))(1 +
31
100
 ×
27
20
) −
242649
1250000
 x
    Remove a bracket on the left of the equation:
     
1052059
312500
 × 1 +
1052059
312500
 ×
31
100
 ×
27
20
 +
74309
31250
 x (1 +
31
100
 ×
27
20
) =
8987
625
 x +
8987
625
 x ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
))(1 +
31
100
 ×
27
20
) −
656051
250000
 x (1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))(1 +
31
100
 ×
27
20
) −
242649
1250000
 x
    Remove a bracket on the right of the equation:：
     
1052059
312500
 × 1 +
1052059
312500
 ×
31
100
 ×
27
20
 +
74309
31250
 x (1 +
31
100
 ×
27
20
) =
8987
625
 x +
8987
625
 x (2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
) × (1 +
31
100
 ×
27
20
) −
656051
250000
 x (1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))(1 +
31
100
 ×
27
20
) −
242649
1250000
    The equation is reduced to :
     
1052059
312500
 +
880573383
625000000
 +
74309
31250
 x (1 +
31
100
 ×
27
20
) =
8987
625
 x +
8987
625
 x (2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
) × (1 +
31
100
 ×
27
20
) −
656051
250000
 x (1 ÷ (1 +
31
100
 ×
27
20
) + ((2( x +
1
10
)) ÷ (
147
100
 ×
4053
40000
)))(1 +
31
100
 ×
27
20
) −
242649
1250000

    The solution of the equation:
        x1≈-1.415789 , keep 6 decimal places
        x2≈0.442048 , 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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