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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 0.207+1.61x/（1.61x+230） = 1.2236x/（1.2236x+230） .
    Question type: Equation
    Solution:Original question:
     
207
1000
 +
161
100
 x ÷ (
161
100
 x + 230) =
3059
2500
 x ÷ (
3059
2500
 x + 230)
     Multiply both sides of the equation by:(
161
100
 x + 230) ,  (
3059
2500
 x + 230)
     
207
1000
(
161
100
 x + 230)(
3059
2500
 x + 230) +
161
100
 x (
3059
2500
 x + 230) =
3059
2500
 x (
161
100
 x + 230)
    Remove a bracket on the left of the equation:：
     
207
1000
 ×
161
100
 x (
3059
2500
 x + 230) +
207
1000
 × 230(
3059
2500
 x + 230) +
161
100
 x (
3059
2500
 x + 230) =
3059
2500
 x (
161
100
 x + 230)
    Remove a bracket on the right of the equation:：
     
207
1000
 ×
161
100
 x (
3059
2500
 x + 230) +
207
1000
 × 230(
3059
2500
 x + 230) +
161
100
 x (
3059
2500
 x + 230) =
3059
2500
 x ×
161
100
 x +
3059
2500
 x × 230
    The equation is reduced to :
     
33327
100000
 x (
3059
2500
 x + 230) +
4761
100
(
3059
2500
 x + 230) +
161
100
 x (
3059
2500
 x + 230) =
492499
250000
 x x +
70357
250
 x
    Remove a bracket on the left of the equation:
     
33327
100000
 x ×
3059
2500
 x +
33327
100000
 x × 230 +
4761
100
(
3059
2500
 x + 230) +
161
100
 x (
3059
2500
 x + 230) =
492499
250000
 x x +
70357
250
 x
    The equation is reduced to :
     
101947293
250000000
 x x +
766521
10000
 x +
4761
100
(
3059
2500
 x + 230) +
161
100
 x (
3059
2500
 x + 230) =
492499
250000
 x x +
70357
250
 x
    Remove a bracket on the left of the equation:
     
101947293
250000000
 x x +
766521
10000
 x +
4761
100
 ×
3059
2500
 x +
4761
100
 × 230 +
161
100
 x =
492499
250000
 x x +
70357
250
 x
    The equation is reduced to :
     
101947293
250000000
 x x +
766521
10000
 x +
14563899
250000
 x +
109503
10
 +
161
100
 x (
3059
2500
 x + 230) =
492499
250000
 x x +
70357
250
 x

    The solution of the equation:
        x1≈-187.969925 , keep 6 decimal places
        x2≈-142.857143 , keep 6 decimal places
        x3≈-54.307938 , keep 6 decimal places    
    There are 3 solution(s).

解程的详细方法请参阅：《方程的解法》


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