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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）））*2.4 = （1-（0.532x/（0.532x+100）））*2.075*1.07 .
    Question type: Equation
    Solution:Original question:
     (1 − (
7
10
 x ÷ (
7
10
 x + 100))) ×
12
5
 = (1 − (
133
250
 x ÷ (
133
250
 x + 100))) ×
83
40
 ×
107
100
    Remove a bracket on the left of the equation:：
     1 ×
12
5
 − (
7
10
 x ÷ (
7
10
 x + 100)) ×
12
5
 = (1 − (
133
250
 x ÷ (
133
250
 x + 100))) ×
83
40
 ×
107
100
    Remove a bracket on the right of the equation:：
     1 ×
12
5
 − (
7
10
 x ÷ (
7
10
 x + 100)) ×
12
5
 = 1 ×
83
40
 ×
107
100
 − (
133
250
 x ÷ (
133
250
 x + 100)) ×
83
40
 ×
107
100
    The equation is reduced to :
     
12
5
 − (
7
10
 x ÷ (
7
10
 x + 100)) ×
12
5
 =
8881
4000
 − (
133
250
 x ÷ (
133
250
 x + 100)) ×
8881
4000
    Remove a bracket on the left of the equation:
     
12
5
 −
7
10
 x ÷ (
7
10
 x + 100) ×
12
5
 =
8881
4000
 − (
133
250
 x ÷ (
133
250
 x + 100)) ×
8881
4000
    Remove a bracket on the right of the equation:：
     
12
5
 −
7
10
 x ÷ (
7
10
 x + 100) ×
12
5
 =
8881
4000
 −
133
250
 x ÷ (
133
250
 x + 100) ×
8881
4000
    The equation is reduced to :
     
12
5
 −
42
25
 x ÷ (
7
10
 x + 100) =
8881
4000
 −
1181173
1000000
 x ÷ (
133
250
 x + 100)
     Multiply both sides of the equation by:(
7
10
 x + 100) ,  (
133
250
 x + 100)
     
12
5
(
7
10
 x + 100)(
133
250
 x + 100) −
42
25
 x (
133
250
 x + 100) =
8881
4000
(
7
10
 x + 100)(
133
250
 x + 100) −
1181173
1000000
 x (
7
10
 x + 100)
    Remove a bracket on the left of the equation:
     
12
5
 ×
7
10
 x (
133
250
 x + 100) +
12
5
 × 100(
133
250
 x + 100) −
42
25
 x (
133
250
 x + 100) =
8881
4000
(
7
10
 x + 100)(
133
250
 x + 100) −
1181173
1000000
 x (
7
10
 x + 100)
    Remove a bracket on the right of the equation:：
     
12
5
 ×
7
10
 x (
133
250
 x + 100) +
12
5
 × 100(
133
250
 x + 100) −
42
25
 x (
133
250
 x + 100) =
8881
4000
 ×
7
10
 x (
133
250
 x + 100) +
8881
4000
 × 100(
133
250
 x + 100) −
1181173
1000000
 x (
7
10
 x + 100)
    The equation is reduced to :
     
42
25
 x (
133
250
 x + 100) + 240(
133
250
 x + 100) −
42
25
 x (
133
250
 x + 100) =
62167
40000
 x (
133
250
 x + 100) +
8881
40
(
133
250
 x + 100) −
1181173
1000000
 x (
7
10
 x + 100)
    Remove a bracket on the left of the equation:
     
42
25
 x ×
133
250
 x +
42
25
 x × 100 + 240(
133
250
 x + 100) −
42
25
 x (
133
250
 x + 100) =
62167
40000
 x (
133
250
 x + 100) +
8881
40
(
133
250
 x + 100) −
1181173
1000000
 x (
7
10
 x + 100)
    Remove a bracket on the right of the equation:：
     
42
25
 x ×
133
250
 x +
42
25
 x × 100 + 240(
133
250
 x + 100) −
42
25
 x (
133
250
 x + 100) =
62167
40000
 x ×
133
250
 x +
62167
40000
 x × 100 +
8881
40
(
133
250
 x + 100) −
1181173
1000000
 x (
7
10
 x + 100)
    The equation is reduced to :
     
2793
3125
 x x + 168 x + 240(
133
250
 x + 100) −
42
25
 x (
133
250
 x + 100) =
8268211
10000000
 x x +
62167
400
 x +
8881
40
(
133
250
 x + 100) −
1181173
1000000
 x (
7
10
 x + 100)
    Remove a bracket on the left of the equation:
     
2793
3125
 x x + 168 x + 240 ×
133
250
 x + 240 × 100 −
42
25
 x =
8268211
10000000
 x x +
62167
400
 x +
8881
40
(
133
250
 x + 100) −
1181173
1000000
 x (
7
10
 x + 100)
    Remove a bracket on the right of the equation:：
     
2793
3125
 x x + 168 x + 240 ×
133
250
 x + 240 × 100 −
42
25
 x =
8268211
10000000
 x x +
62167
400
 x +
8881
40
 ×
133
250
 x +
8881
40
 × 100 −
1181173
1000000
 x
    The equation is reduced to :
     
2793
3125
 x x + 168 x +
3192
25
 x + 24000 −
42
25
 x (
133
250
 x + 100) =
8268211
10000000
 x x +
62167
400
 x +
1181173
10000
 x +
44405
2
 −
1181173
1000000
 x (
7
10
 x + 100)
    The equation is reduced to :
     
2793
3125
 x x +
7392
25
 x + 24000 −
42
25
 x (
133
250
 x + 100) =
8268211
10000000
 x x +
683837
2500
 x +
44405
2
 −
1181173
1000000
 x (
7
10
 x + 100)
    Remove a bracket on the left of the equation:
     
2793
3125
 x x +
7392
25
 x + 24000 −
42
25
 x ×
133
250
 x −
42
25
 x =
8268211
10000000
 x x +
683837
2500
 x +
44405
2
 −
1181173
1000000
 x (
7
10
 x + 100)
    Remove a bracket on the right of the equation:：
     
2793
3125
 x x +
7392
25
 x + 24000 −
42
25
 x ×
133
250
 x −
42
25
 x =
8268211
10000000
 x x +
683837
2500
 x +
44405
2
 −
1181173
1000000
 x ×
7
10
 x −
1181173
1000000
 x
    The equation is reduced to :
     
2793
3125
 x x +
7392
25
 x + 24000 −
2793
3125
 x x − 168 x =
8268211
10000000
 x x +
683837
2500
 x +
44405
2
 −
8268211
10000000
 x x −
1181173
10000
 x
    The equation is reduced to :
     
2793
3125
 x x +
3192
25
 x + 24000 −
2793
3125
 x x =
8268211
10000000
 x x +
62167
400
 x +
44405
2
 −
8268211
10000000
 x x

    The solution of the equation:
        x1≈-187.969925 , keep 6 decimal places
        x2≈-142.857143 , keep 6 decimal places
        x3≈64.803966 , 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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