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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+（0.7x/（0.7x+100））*2.3 = （0.532x/（0.532x+100））*2.3 .
    Question type: Equation
    Solution:Original question:
     
207
1000
 + (
7
10
 x ÷ (
7
10
 x + 100)) ×
23
10
 = (
133
250
 x ÷ (
133
250
 x + 100)) ×
23
10
    Remove a bracket on the left of the equation:：
     
207
1000
 +
7
10
 x ÷ (
7
10
 x + 100) ×
23
10
 = (
133
250
 x ÷ (
133
250
 x + 100)) ×
23
10
    Remove a bracket on the right of the equation:：
     
207
1000
 +
7
10
 x ÷ (
7
10
 x + 100) ×
23
10
 =
133
250
 x ÷ (
133
250
 x + 100) ×
23
10
    The equation is reduced to :
     
207
1000
 +
161
100
 x ÷ (
7
10
 x + 100) =
3059
2500
 x ÷ (
133
250
 x + 100)
     Multiply both sides of the equation by:(
7
10
 x + 100) ,  (
133
250
 x + 100)
     
207
1000
(
7
10
 x + 100)(
133
250
 x + 100) +
161
100
 x (
133
250
 x + 100) =
3059
2500
 x (
7
10
 x + 100)
    Remove a bracket on the left of the equation:
     
207
1000
 ×
7
10
 x (
133
250
 x + 100) +
207
1000
 × 100(
133
250
 x + 100) +
161
100
 x (
133
250
 x + 100) =
3059
2500
 x (
7
10
 x + 100)
    Remove a bracket on the right of the equation:：
     
207
1000
 ×
7
10
 x (
133
250
 x + 100) +
207
1000
 × 100(
133
250
 x + 100) +
161
100
 x (
133
250
 x + 100) =
3059
2500
 x ×
7
10
 x +
3059
2500
 x × 100
    The equation is reduced to :
     
1449
10000
 x (
133
250
 x + 100) +
207
10
(
133
250
 x + 100) +
161
100
 x (
133
250
 x + 100) =
21413
25000
 x x +
3059
25
 x
    Remove a bracket on the left of the equation:
     
1449
10000
 x ×
133
250
 x +
1449
10000
 x × 100 +
207
10
(
133
250
 x + 100) +
161
100
 x (
133
250
 x + 100) =
21413
25000
 x x +
3059
25
 x
    The equation is reduced to :
     
192717
2500000
 x x +
1449
100
 x +
207
10
(
133
250
 x + 100) +
161
100
 x (
133
250
 x + 100) =
21413
25000
 x x +
3059
25
 x
    Remove a bracket on the left of the equation:
     
192717
2500000
 x x +
1449
100
 x +
207
10
 ×
133
250
 x +
207
10
 × 100 +
161
100
 x =
21413
25000
 x x +
3059
25
 x
    The equation is reduced to :
     
192717
2500000
 x x +
1449
100
 x +
27531
2500
 x + 2070 +
161
100
 x (
133
250
 x + 100) =
21413
25000
 x x +
3059
25
 x
    The equation is reduced to :
     
192717
2500000
 x x +
15939
625
 x + 2070 +
161
100
 x (
133
250
 x + 100) =
21413
25000
 x x +
3059
25
 x
    Remove a bracket on the left of the equation:
     
192717
2500000
 x x +
15939
625
 x + 2070 +
161
100
 x ×
133
250
 x +
161
100
 x =
21413
25000
 x x +
3059
25
 x
    The equation is reduced to :
     
192717
2500000
 x x +
15939
625
 x + 2070 +
21413
25000
 x x + 161 x =
21413
25000
 x x +
3059
25
 x
    The equation is reduced to :
     
192717
2500000
 x x +
116564
625
 x + 2070 +
21413
25000
 x x =
21413
25000
 x x +
3059
25
 x

    The solution of the equation:
        x1≈-187.969925 , keep 6 decimal places
        x2≈-142.857143 , keep 6 decimal places
        x3≈-33.631263 , 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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