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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 （1-（0.7x/（0.7x+100）））*2.57 = （1-（0.532x/（0.532x+100）））*2.075 .
    Question type: Equation
    Solution:Original question:
     (1 − (
7
10
 x ÷ (
7
10
 x + 100))) ×
257
100
 = (1 − (
133
250
 x ÷ (
133
250
 x + 100))) ×
83
40
    Remove a bracket on the left of the equation:：
     1 ×
257
100
 − (
7
10
 x ÷ (
7
10
 x + 100)) ×
257
100
 = (1 − (
133
250
 x ÷ (
133
250
 x + 100))) ×
83
40
    Remove a bracket on the right of the equation:：
     1 ×
257
100
 − (
7
10
 x ÷ (
7
10
 x + 100)) ×
257
100
 = 1 ×
83
40
 − (
133
250
 x ÷ (
133
250
 x + 100)) ×
83
40
    The equation is reduced to :
     
257
100
 − (
7
10
 x ÷ (
7
10
 x + 100)) ×
257
100
 =
83
40
 − (
133
250
 x ÷ (
133
250
 x + 100)) ×
83
40
    Remove a bracket on the left of the equation:
     
257
100
 −
7
10
 x ÷ (
7
10
 x + 100) ×
257
100
 =
83
40
 − (
133
250
 x ÷ (
133
250
 x + 100)) ×
83
40
    Remove a bracket on the right of the equation:：
     
257
100
 −
7
10
 x ÷ (
7
10
 x + 100) ×
257
100
 =
83
40
 −
133
250
 x ÷ (
133
250
 x + 100) ×
83
40
    The equation is reduced to :
     
257
100
 −
1799
1000
 x ÷ (
7
10
 x + 100) =
83
40
 −
11039
10000
 x ÷ (
133
250
 x + 100)
     Multiply both sides of the equation by:(
7
10
 x + 100) ,  (
133
250
 x + 100)
     
257
100
(
7
10
 x + 100)(
133
250
 x + 100) −
1799
1000
 x (
133
250
 x + 100) =
83
40
(
7
10
 x + 100)(
133
250
 x + 100) −
11039
10000
 x (
7
10
 x + 100)
    Remove a bracket on the left of the equation:
     
257
100
 ×
7
10
 x (
133
250
 x + 100) +
257
100
 × 100(
133
250
 x + 100) −
1799
1000
 x (
133
250
 x + 100) =
83
40
(
7
10
 x + 100)(
133
250
 x + 100) −
11039
10000
 x (
7
10
 x + 100)
    Remove a bracket on the right of the equation:：
     
257
100
 ×
7
10
 x (
133
250
 x + 100) +
257
100
 × 100(
133
250
 x + 100) −
1799
1000
 x (
133
250
 x + 100) =
83
40
 ×
7
10
 x (
133
250
 x + 100) +
83
40
 × 100(
133
250
 x + 100) −
11039
10000
 x (
7
10
 x + 100)
    The equation is reduced to :
     
1799
1000
 x (
133
250
 x + 100) + 257(
133
250
 x + 100) −
1799
1000
 x (
133
250
 x + 100) =
581
400
 x (
133
250
 x + 100) +
415
2
(
133
250
 x + 100) −
11039
10000
 x (
7
10
 x + 100)
    Remove a bracket on the left of the equation:
     
1799
1000
 x ×
133
250
 x +
1799
1000
 x × 100 + 257(
133
250
 x + 100) −
1799
1000
 x (
133
250
 x + 100) =
581
400
 x (
133
250
 x + 100) +
415
2
(
133
250
 x + 100) −
11039
10000
 x (
7
10
 x + 100)
    Remove a bracket on the right of the equation:：
     
1799
1000
 x ×
133
250
 x +
1799
1000
 x × 100 + 257(
133
250
 x + 100) −
1799
1000
 x (
133
250
 x + 100) =
581
400
 x ×
133
250
 x +
581
400
 x × 100 +
415
2
(
133
250
 x + 100) −
11039
10000
 x (
7
10
 x + 100)
    The equation is reduced to :
     
239267
250000
 x x +
1799
10
 x + 257(
133
250
 x + 100) −
1799
1000
 x (
133
250
 x + 100) =
77273
100000
 x x +
581
4
 x +
415
2
(
133
250
 x + 100) −
11039
10000
 x (
7
10
 x + 100)
    Remove a bracket on the left of the equation:
     
239267
250000
 x x +
1799
10
 x + 257 ×
133
250
 x + 257 × 100 −
1799
1000
 x =
77273
100000
 x x +
581
4
 x +
415
2
(
133
250
 x + 100) −
11039
10000
 x (
7
10
 x + 100)
    Remove a bracket on the right of the equation:：
     
239267
250000
 x x +
1799
10
 x + 257 ×
133
250
 x + 257 × 100 −
1799
1000
 x =
77273
100000
 x x +
581
4
 x +
415
2
 ×
133
250
 x +
415
2
 × 100 −
11039
10000
 x
    The equation is reduced to :
     
239267
250000
 x x +
1799
10
 x +
34181
250
 x + 25700 −
1799
1000
 x (
133
250
 x + 100) =
77273
100000
 x x +
581
4
 x +
11039
100
 x + 20750 −
11039
10000
 x (
7
10
 x + 100)
    The equation is reduced to :
     
239267
250000
 x x +
39578
125
 x + 25700 −
1799
1000
 x (
133
250
 x + 100) =
77273
100000
 x x +
6391
25
 x + 20750 −
11039
10000
 x (
7
10
 x + 100)
    Remove a bracket on the left of the equation:
     
239267
250000
 x x +
39578
125
 x + 25700 −
1799
1000
 x ×
133
250
 x −
1799
1000
 x =
77273
100000
 x x +
6391
25
 x + 20750 −
11039
10000
 x (
7
10
 x + 100)
    Remove a bracket on the right of the equation:：
     
239267
250000
 x x +
39578
125
 x + 25700 −
1799
1000
 x ×
133
250
 x −
1799
1000
 x =
77273
100000
 x x +
6391
25
 x + 20750 −
11039
10000
 x ×
7
10
 x −
11039
10000
 x
    The equation is reduced to :
     
239267
250000
 x x +
39578
125
 x + 25700 −
239267
250000
 x x −
1799
10
 x =
77273
100000
 x x +
6391
25
 x + 20750 −
77273
100000
 x x −
11039
100
 x
    The equation is reduced to :
     
239267
250000
 x x +
34181
250
 x + 25700 −
239267
250000
 x x =
77273
100000
 x x +
581
4
 x + 20750 −
77273
100000
 x x

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