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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 （76.26+13.7x)*(114.39+13.7x)/(228.78+41.1x)+41.22 = (140.5+45.65x)*(210.75+45.65x)/(421.5+136.95x) .
    Question type: Equation
    Solution:Original question:
     (
3813
50
 +
137
10
 x )(
11439
100
 +
137
10
 x ) ÷ (
11439
50
 +
411
10
 x ) +
2061
50
 = (
281
2
 +
913
20
 x )(
843
4
 +
913
20
 x ) ÷ (
843
2
 +
2739
20
 x )
     Multiply both sides of the equation by:(
11439
50
 +
411
10
 x ) ,  (
843
2
 +
2739
20
 x )
     (
3813
50
 +
137
10
 x )(
11439
100
 +
137
10
 x )(
843
2
 +
2739
20
 x ) +
2061
50
(
11439
50
 +
411
10
 x )(
843
2
 +
2739
20
 x ) = (
281
2
 +
913
20
 x )(
843
4
 +
913
20
 x )(
11439
50
 +
411
10
 x )
    Remove a bracket on the left of the equation:：
     
3813
50
(
11439
100
 +
137
10
 x )(
843
2
 +
2739
20
 x ) +
137
10
 x (
11439
100
 +
137
10
 x )(
843
2
 +
2739
20
 x ) +
2061
50
(
11439
50
 +
411
10
 x )(
843
2
 +
2739
20
 x ) = (
281
2
 +
913
20
 x )(
843
4
 +
913
20
 x )(
11439
50
 +
411
10
 x )
    Remove a bracket on the right of the equation:：
     
3813
50
(
11439
100
 +
137
10
 x )(
843
2
 +
2739
20
 x ) +
137
10
 x (
11439
100
 +
137
10
 x )(
843
2
 +
2739
20
 x ) +
2061
50
(
11439
50
 +
411
10
 x )(
843
2
 +
2739
20
 x ) =
281
2
(
843
4
 +
913
20
 x )(
11439
50
 +
411
10
 x ) +
913
20
 x (
843
4
 +
913
20
 x )(
11439
50
 +
411
10
 x )
    Remove a bracket on the left of the equation:
     
3813
50
 ×
11439
100
(
843
2
 +
2739
20
 x ) +
3813
50
 ×
137
10
 x (
843
2
 +
2739
20
 x ) +
137
10
 x (
11439
100
 +
137
10
 x )(
843
2
 +
2739
20
 x ) +
2061
50
 =
281
2
(
843
4
 +
913
20
 x )(
11439
50
 +
411
10
 x ) +
913
20
 x (
843
4
 +
913
20
 x )(
11439
50
 +
411
10
 x )
    Remove a bracket on the right of the equation:：
     
3813
50
 ×
11439
100
(
843
2
 +
2739
20
 x ) +
3813
50
 ×
137
10
 x (
843
2
 +
2739
20
 x ) +
137
10
 x (
11439
100
 +
137
10
 x )(
843
2
 +
2739
20
 x ) +
2061
50
 =
281
2
 ×
843
4
(
11439
50
 +
411
10
 x ) +
281
2
 ×
913
20
 x (
11439
50
 +
411
10
 x ) +
913
20
 x (
843
4
 +
913
20
 x )(
11439
50
 +
411
10
 x )
    The equation is reduced to :
     
43616907
5000
(
843
2
 +
2739
20
 x ) +
522381
500
 x (
843
2
 +
2739
20
 x ) +
137
10
 x (
11439
100
 +
137
10
 x )(
843
2
 +
2739
20
 x ) +
2061
50
(
11439
50
 +
411
10
 x )(
843
2
 +
2739
20
 x ) =
236883
8
(
11439
50
 +
411
10
 x ) +
256553
40
 x (
11439
50
 +
411
10
 x ) +
913
20
 x (
843
4
 +
913
20
 x )(
11439
50
 +
411
10
 x )
    Remove a bracket on the left of the equation:
     
43616907
5000
 ×
843
2
 +
43616907
5000
 ×
2739
20
 x +
522381
500
 x (
843
2
 +
2739
20
 x ) +
137
10
 x (
11439
100
 +
137
10
 x )(
843
2
 +
2739
20
 x ) =
236883
8
(
11439
50
 +
411
10
 x ) +
256553
40
 x (
11439
50
 +
411
10
 x ) +
913
20
 x (
843
4
 +
913
20
 x )(
11439
50
 +
411
10
 x )
    Remove a bracket on the right of the equation:：
     
43616907
5000
 ×
843
2
 +
43616907
5000
 ×
2739
20
 x +
522381
500
 x (
843
2
 +
2739
20
 x ) +
137
10
 x (
11439
100
 +
137
10
 x )(
843
2
 +
2739
20
 x ) =
236883
8
 ×
11439
50
 +
236883
8
 ×
411
10
 x +
256553
40
 x (
11439
50
 +
411
10
 x ) +
913
20
 x (
843
4
 +
913
20
 x )(
11439
50
 +
411
10
 x )

    
        x≈0.854460 , keep 6 decimal places    
    There are 1 solution(s).

解一元一次方程的详细方法请参阅：《一元一次方程的解法》


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