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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 0.309/(126.93*x+1)+0.05/(17.61*x+1)+0.063/(4.3*x+1)+0.048/(0.82*x+1)+0.039/(-0.25*x+1)+0.054/(-0.65*x+1)+0.0437/(-0.82*x+1) = 1 .
    Question type: Equation
    Solution:Original question:
     
309
1000
 ÷ (
12693
100
 x + 1) +
1
20
 ÷ (
1761
100
 x + 1) +
63
1000
 ÷ (
43
10
 x + 1) +
6
125
 ÷ (
41
50
 x + 1) +
39
1000
 ÷ ( -
1
4
 x + 1) +
27
500
 ÷ ( -
13
20
 x + 1) = 1
     Multiply both sides of the equation by:(
12693
100
 x + 1)
     
309
1000
 +
1
20
 ÷ (
1761
100
 x + 1) × (
12693
100
 x + 1) +
63
1000
 ÷ (
43
10
 x + 1) × (
12693
100
 x + 1) +
6
125
 ÷ (
41
50
 x + 1) × (
12693
100
 x + 1) +
39
1000
 ÷ ( -
1
4
 x + 1) = 1(
12693
100
 x + 1)
    Remove a bracket on the left of the equation:：
     
309
1000
 +
1
20
 ÷ (
1761
100
 x + 1) ×
12693
100
 x +
1
20
 ÷ (
1761
100
 x + 1) × 1 +
63
1000
 ÷ (
43
10
 x + 1) × (
12693
100
 x + 1) +
6
125
 = 1(
12693
100
 x + 1)
    Remove a bracket on the right of the equation:：
     
309
1000
 +
1
20
 ÷ (
1761
100
 x + 1) ×
12693
100
 x +
1
20
 ÷ (
1761
100
 x + 1) × 1 +
63
1000
 ÷ (
43
10
 x + 1) × (
12693
100
 x + 1) +
6
125
 = 1 ×
12693
100
 x + 1 × 1
    The equation is reduced to :
     
309
1000
 +
12693
2000
 ÷ (
1761
100
 x + 1) × x +
1
20
 ÷ (
1761
100
 x + 1) +
63
1000
 ÷ (
43
10
 x + 1) × (
12693
100
 x + 1) +
6
125
 ÷ (
41
50
 x + 1) × (
12693
100
 x + 1) =
12693
100
 x + 1
     Multiply both sides of the equation by:(
1761
100
 x + 1)
     
309
1000
(
1761
100
 x + 1) +
12693
2000
 x +
1
20
 +
63
1000
 ÷ (
43
10
 x + 1) × (
12693
100
 x + 1)(
1761
100
 x + 1) +
6
125
 ÷ (
41
50
 x + 1) × (
12693
100
 x + 1) =
12693
100
 x (
1761
100
 x + 1) + 1(
1761
100
 x + 1)
    Remove a bracket on the left of the equation:
     
309
1000
 ×
1761
100
 x +
309
1000
 × 1 +
12693
2000
 x +
1
20
 +
63
1000
 ÷ (
43
10
 x + 1) × (
12693
100
 x + 1)(
1761
100
 x + 1) =
12693
100
 x (
1761
100
 x + 1) + 1(
1761
100
 x + 1)
    Remove a bracket on the right of the equation:：
     
309
1000
 ×
1761
100
 x +
309
1000
 × 1 +
12693
2000
 x +
1
20
 +
63
1000
 ÷ (
43
10
 x + 1) × (
12693
100
 x + 1)(
1761
100
 x + 1) =
12693
100
 x ×
1761
100
 x +
12693
100
 x × 1 + 1(
1761
100
 x + 1)
    The equation is reduced to :
     
544149
100000
 x +
309
1000
 +
12693
2000
 x +
1
20
 +
63
1000
 ÷ (
43
10
 x + 1) × (
12693
100
 x + 1)(
1761
100
 x + 1) +
6
125
 ÷ (
41
50
 x + 1) =
22352373
10000
 x x +
12693
100
 x + 1(
1761
100
 x + 1)
    The equation is reduced to :
     
1178799
100000
 x +
359
1000
 +
63
1000
 ÷ (
43
10
 x + 1) × (
12693
100
 x + 1)(
1761
100
 x + 1) +
6
125
 ÷ (
41
50
 x + 1) × (
12693
100
 x + 1)(
1761
100
 x + 1) +
39
1000
 =
22352373
10000
 x x +
12693
100
 x + 1(
1761
100
 x + 1)
     Multiply both sides of the equation by:(
43
10
 x + 1)
     
1178799
100000
 x (
43
10
 x + 1) +
359
1000
(
43
10
 x + 1) +
63
1000
(
12693
100
 x + 1)(
1761
100
 x + 1) +
6
125
 ÷ (
41
50
 x + 1) × (
12693
100
 x + 1)(
1761
100
 x + 1) =
22352373
10000
 x x (
43
10
 x + 1) +
12693
100
 x (
43
10
 x + 1) + 1(
1761
100
 x + 1)(
43
10
 x + 1)
    Remove a bracket on the left of the equation:
     
1178799
100000
 x ×
43
10
 x +
1178799
100000
 x × 1 +
359
1000
(
43
10
 x + 1) +
63
1000
(
12693
100
 x + 1)(
1761
100
 x + 1) =
22352373
10000
 x x (
43
10
 x + 1) +
12693
100
 x (
43
10
 x + 1) + 1(
1761
100
 x + 1)(
43
10
 x + 1)
    Remove a bracket on the right of the equation:：
     
1178799
100000
 x ×
43
10
 x +
1178799
100000
 x × 1 +
359
1000
(
43
10
 x + 1) +
63
1000
(
12693
100
 x + 1)(
1761
100
 x + 1) =
22352373
10000
 x x ×
43
10
 x +
22352373
10000
 x x × 1 +
12693
100
 x (
43
10
 x + 1)
    The equation is reduced to :
     
50688357
1000000
 x x +
1178799
100000
 x +
359
1000
(
43
10
 x + 1) +
63
1000
(
12693
100
 x + 1)(
1761
100
 x + 1) +
6
125
 ÷ (
41
50
 x + 1) =
961152039
100000
 x x x +
22352373
10000
 x x +
12693
100
 x (
43
10
 x + 1) + 1(
1761
100
 x + 1)
     Multiply both sides of the equation by:(
41
50
 x + 1)
     
50688357
1000000
 x x (
41
50
 x + 1) +
1178799
100000
 x (
41
50
 x + 1) +
359
1000
(
43
10
 x + 1)(
41
50
 x + 1) +
63
1000
(
12693
100
 x + 1) =
961152039
100000
 x x x (
41
50
 x + 1) +
22352373
10000
 x x (
41
50
 x + 1) +
12693
100
 x (
43
10
 x + 1)
    Remove a bracket on the left of the equation:
     
50688357
1000000
 x x ×
41
50
 x +
50688357
1000000
 x x × 1 +
1178799
100000
 x (
41
50
 x + 1) =
961152039
100000
 x x x (
41
50
 x + 1) +
22352373
10000
 x x (
41
50
 x + 1) +
12693
100
 x (
43
10
 x + 1)
    Remove a bracket on the right of the equation:：
     
50688357
1000000
 x x ×
41
50
 x +
50688357
1000000
 x x × 1 +
1178799
100000
 x (
41
50
 x + 1) =
961152039
100000
 x x x ×
41
50
 x +
961152039
100000
 x x x × 1 +
22352373
10000

    The solution of the equation:
        x1≈-1.219512 , keep 6 decimal places
        x2≈-1.157043 , keep 6 decimal places
        x3≈-0.232558 , keep 6 decimal places
        x4≈-0.215318 , keep 6 decimal places
        x5≈1.142884 , keep 6 decimal places
        x6≈1.219512 , keep 6 decimal places
        x7≈1.464425 , keep 6 decimal places
        x8≈1.538462 , keep 6 decimal places
        x9≈3.849958 , keep 6 decimal places    
    There are 9 solution(s).

解程的详细方法请参阅：《方程的解法》


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