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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 0.508/（（40/X+8.5）/（90/X+15.3）） = 0.492/（（50/X+6.8）/（90/X+15.3）） .
    Question type: Equation
    Solution:Original question:
     
127
250
 ÷ ((40 ÷ X +
17
2
) ÷ (90 ÷ X +
153
10
)) =
123
250
 ÷ ((50 ÷ X +
34
5
) ÷ (90 ÷ X +
153
10
))
     Multiply both sides of the equation by:((40 ÷ X +
17
2
) ÷ (90 ÷ X +
153
10
)) ,  ((50 ÷ X +
34
5
) ÷ (90 ÷ X +
153
10
))
     
127
250
((50 ÷ X +
34
5
) ÷ (90 ÷ X +
153
10
)) =
123
250
((40 ÷ X +
17
2
) ÷ (90 ÷ X +
153
10
))
    Remove a bracket on the left of the equation:：
     
127
250
(50 ÷ X +
34
5
) ÷ (90 ÷ X +
153
10
) =
123
250
((40 ÷ X +
17
2
) ÷ (90 ÷ X +
153
10
))
    Remove a bracket on the right of the equation:：
     
127
250
(50 ÷ X +
34
5
) ÷ (90 ÷ X +
153
10
) =
123
250
(40 ÷ X +
17
2
) ÷ (90 ÷ X +
153
10
)
     Multiply both sides of the equation by:(90 ÷ X +
153
10
) ,  (90 ÷ X +
153
10
)
     
127
250
(50 ÷ X +
34
5
)(90 ÷ X +
153
10
) =
123
250
(40 ÷ X +
17
2
)(90 ÷ X +
153
10
)
    Remove a bracket on the left of the equation:
     
127
250
 × 50 ÷ X × (90 ÷ X +
153
10
) +
127
250
 ×
34
5
(90 ÷ X +
153
10
) =
123
250
(40 ÷ X +
17
2
)(90 ÷ X +
153
10
)
    Remove a bracket on the right of the equation:：
     
127
250
 × 50 ÷ X × (90 ÷ X +
153
10
) +
127
250
 ×
34
5
(90 ÷ X +
153
10
) =
123
250
 × 40 ÷ X × (90 ÷ X +
153
10
) +
123
250
 ×
17
2
(90 ÷ X +
153
10
)
    The equation is reduced to :
     
127
5
 ÷ X × (90 ÷ X +
153
10
) +
2159
625
(90 ÷ X +
153
10
) =
492
25
 ÷ X × (90 ÷ X +
153
10
) +
2091
500
(90 ÷ X +
153
10
)
     Multiply both sides of the equation by: X
     
127
5
(90 ÷ X +
153
10
) +
2159
625
(90 ÷ X +
153
10
) X =
492
25
 ÷ 1 × (90 ÷ X +
153
10
) × 1 +
2091
500
(90 ÷ X +
153
10
) X
    Remove a bracket on the left of the equation:
     
127
5
 × 90 ÷ X +
127
5
 ×
153
10
 +
2159
625
(90 ÷ X +
153
10
) X =
492
25
 ÷ 1 × (90 ÷ X +
153
10
) × 1 +
2091
500
(90 ÷ X +
153
10
) X
    Remove a bracket on the right of the equation:：
     
127
5
 × 90 ÷ X +
127
5
 ×
153
10
 +
2159
625
(90 ÷ X +
153
10
) X =
492
25
 ÷ 1 × 90 ÷ X × 1 +
492
25
 ÷ 1 ×
153
10
 × 1 +
2091
500
(90 ÷ X +
153
10
) X
    The equation is reduced to :
     2286 ÷ X +
19431
50
 +
2159
625
(90 ÷ X +
153
10
) X =
8856
5
 ÷ X +
37638
125
 +
2091
500
(90 ÷ X +
153
10
) X
     Multiply both sides of the equation by: X
     2286 +
19431
50
 X +
2159
625
(90 ÷ X +
153
10
) X X =
8856
5
 ÷ 1 × 1 +
37638
125
 X +
2091
500
(90 ÷ X +
153
10
) X X
    Remove a bracket on the left of the equation:
     2286 +
19431
50
 X +
2159
625
 × 90 ÷ X × X X +
2159
625
 ×
153
10
 X X =
8856
5
 ÷ 1 × 1 +
37638
125
 X +
2091
500
(90 ÷ X +
153
10
) X X
    Remove a bracket on the right of the equation:：
     2286 +
19431
50
 X +
2159
625
 × 90 ÷ X × X X +
2159
625
 ×
153
10
 X X =
8856
5
 ÷ 1 × 1 +
37638
125
 X +
2091
500
 × 90 ÷ X × X X +
2091
500
 ×
153
10
    The equation is reduced to :
     2286 +
19431
50
 X +
38862
125
 ÷ X × X X +
330327
6250
 X X =
8856
5
 +
37638
125
 X +
18819
50
 ÷ X × X X +
319923
5000
 X X

    The solution of the equation:
        X1≈-7.352941 , keep 6 decimal places
        X2≈-5.882353 , keep 6 decimal places
        X3≈-4.705882 , keep 6 decimal places
        X4≈7.861462 , keep 6 decimal places    
    There are 4 solution(s).

解程的详细方法请参阅：《方程的解法》


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