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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 0.492/[(50+6.8x)/(90+15.3x)] = 0.508/[(40+8.5x)/(0+15.3x)] .
    Question type: Equation
    Solution:Original question:
     
123
250
 ÷ ((50 +
34
5
 x ) ÷ (90 +
153
10
 x )) =
127
250
 ÷ ((40 +
17
2
 x ) ÷ (0 +
153
10
 x ))
     Multiply both sides of the equation by:((50 +
34
5
 x ) ÷ (90 +
153
10
 x )) ,  ((40 +
17
2
 x ) ÷ (0 +
153
10
 x ))
     
123
250
((40 +
17
2
 x ) ÷ (0 +
153
10
 x )) =
127
250
((50 +
34
5
 x ) ÷ (90 +
153
10
 x ))
    Remove a bracket on the left of the equation:：
     
123
250
(40 +
17
2
 x ) ÷ (0 +
153
10
 x ) =
127
250
((50 +
34
5
 x ) ÷ (90 +
153
10
 x ))
    Remove a bracket on the right of the equation:：
     
123
250
(40 +
17
2
 x ) ÷ (0 +
153
10
 x ) =
127
250
(50 +
34
5
 x ) ÷ (90 +
153
10
 x )
     Multiply both sides of the equation by:(0 +
153
10
 x ) ,  (90 +
153
10
 x )
     
123
250
(40 +
17
2
 x )(90 +
153
10
 x ) =
127
250
(50 +
34
5
 x )(0 +
153
10
 x )
    Remove a bracket on the left of the equation:
     
123
250
 × 40(90 +
153
10
 x ) +
123
250
 ×
17
2
 x (90 +
153
10
 x ) =
127
250
(50 +
34
5
 x )(0 +
153
10
 x )
    Remove a bracket on the right of the equation:：
     
123
250
 × 40(90 +
153
10
 x ) +
123
250
 ×
17
2
 x (90 +
153
10
 x ) =
127
250
 × 50(0 +
153
10
 x ) +
127
250
 ×
34
5
 x (0 +
153
10
 x )
    The equation is reduced to :
     
492
25
(90 +
153
10
 x ) +
2091
500
 x (90 +
153
10
 x ) =
127
5
(0 +
153
10
 x ) +
2159
625
 x (0 +
153
10
 x )
    Remove a bracket on the left of the equation:
     
492
25
 × 90 +
492
25
 ×
153
10
 x +
2091
500
 x (90 +
153
10
 x ) =
127
5
(0 +
153
10
 x ) +
2159
625
 x (0 +
153
10
 x )
    Remove a bracket on the right of the equation:：
     
492
25
 × 90 +
492
25
 ×
153
10
 x +
2091
500
 x (90 +
153
10
 x ) =
127
5
 × 0 +
127
5
 ×
153
10
 x +
2159
625
 x (0 +
153
10
 x )
    The equation is reduced to :
     
8856
5
 +
37638
125
 x +
2091
500
 x (90 +
153
10
 x ) = 0 +
19431
50
 x +
2159
625
 x (0 +
153
10
 x )
    Remove a bracket on the left of the equation:
     
8856
5
 +
37638
125
 x +
2091
500
 x × 90 +
2091
500
 x ×
153
10
 x =
19431
50
 x +
2159
625
 x (0 +
153
10
 x )
    Remove a bracket on the right of the equation:：
     
8856
5
 +
37638
125
 x +
2091
500
 x × 90 +
2091
500
 x ×
153
10
 x =
19431
50
 x +
2159
625
 x × 0 +
2159
625
 x ×
153
10
 x
    The equation is reduced to :
     
8856
5
 +
37638
125
 x +
18819
50
 x +
319923
5000
 x x =
19431
50
 x + 0 x +
330327
6250
 x x
    The equation is reduced to :
     
8856
5
 +
169371
250
 x +
319923
5000
 x x =
19431
50
 x +
330327
6250
 x x

    The solution of the equation:
        x1≈-16.011265 , keep 6 decimal places
        x2≈-9.937058 , keep 6 decimal places
        x3≈-7.352941 , keep 6 decimal places
        x4≈-4.705882 , 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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