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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 （38.13+13.7x+38.13)*(2*38.13+13.7x+38.13)/(228.78+41.1x) = (70.25+70.25+45.65x)*(2*70.25+45.65x+70.25)/(421.5+45.65x) .
    Question type: Equation
    Solution:Original question:
     (
3813
100
 +
137
10
 x +
3813
100
)(2 ×
3813
100
 +
137
10
 x +
3813
100
) ÷ (
11439
50
 +
411
10
 x ) = (
281
4
 +
281
4
 +
913
20
 x )(2 ×
281
4
 +
913
20
 x +
281
4
) ÷ (
843
2
 +
913
20
 x )
     Multiply both sides of the equation by:(
11439
50
 +
411
10
 x ) ,  (
843
2
 +
913
20
 x )
     (
3813
100
 +
137
10
 x +
3813
100
)(2 ×
3813
100
 +
137
10
 x +
3813
100
)(
843
2
 +
913
20
 x ) = (
281
4
 +
281
4
 +
913
20
 x )(2 ×
281
4
 +
913
20
 x +
281
4
)(
11439
50
 +
411
10
 x )
    Remove a bracket on the left of the equation:：
     
3813
100
(2 ×
3813
100
 +
137
10
 x +
3813
100
)(
843
2
 +
913
20
 x ) +
137
10
 x (2 ×
3813
100
 +
137
10
 x +
3813
100
)(
843
2
 +
913
20
 x ) +
3813
100
(2 ×
3813
100
 +
137
10
 x +
3813
100
)(
843
2
 +
913
20
 x ) = (
281
4
 +
281
4
 +
913
20
 x )(2 ×
281
4
 +
913
20
 x +
281
4
)(
11439
50
 +
411
10
 x )
    Remove a bracket on the right of the equation:：
     
3813
100
(2 ×
3813
100
 +
137
10
 x +
3813
100
)(
843
2
 +
913
20
 x ) +
137
10
 x (2 ×
3813
100
 +
137
10
 x +
3813
100
)(
843
2
 +
913
20
 x ) +
3813
100
(2 ×
3813
100
 +
137
10
 x +
3813
100
)(
843
2
 +
913
20
 x ) =
281
4
(2 ×
281
4
 +
913
20
 x +
281
4
)(
11439
50
 +
411
10
 x ) +
281
4
(2 ×
281
4
 +
913
20
 x +
281
4
)(
11439
50
 +
411
10
 x ) +
913
20
 x (2 ×
281
4
 +
913
20
 x +
281
4
)(
11439
50
 +
411
10
 x )
    Remove a bracket on the left of the equation:
     
3813
100
 × 2 ×
3813
100
(
843
2
 +
913
20
 x ) +
3813
100
 ×
137
10
 x (
843
2
 +
913
20
 x ) +
3813
100
 ×
3813
100
(
843
2
 +
913
20
 x ) +
137
10
 =
281
4
(2 ×
281
4
 +
913
20
 x +
281
4
)(
11439
50
 +
411
10
 x ) +
281
4
(2 ×
281
4
 +
913
20
 x +
281
4
)(
11439
50
 +
411
10
 x ) +
913
20
 x (2 ×
281
4
 +
913
20
 x +
281
4
)(
11439
50
 +
411
10
 x )
    Remove a bracket on the right of the equation:：
     
3813
100
 × 2 ×
3813
100
(
843
2
 +
913
20
 x ) +
3813
100
 ×
137
10
 x (
843
2
 +
913
20
 x ) +
3813
100
 ×
3813
100
(
843
2
 +
913
20
 x ) +
137
10
 =
281
4
 × 2 ×
281
4
(
11439
50
 +
411
10
 x ) +
281
4
 ×
913
20
 x (
11439
50
 +
411
10
 x ) +
281
4
 ×
281
4
(
11439
50
 +
411
10
 x ) +
281
4
    The equation is reduced to :
     
14538969
5000
(
843
2
 +
913
20
 x ) +
522381
1000
 x (
843
2
 +
913
20
 x ) +
14538969
10000
(
843
2
 +
913
20
 x ) +
137
10
 x (2 ×
3813
100
 +
137
10
 x +
3813
100
)(
843
2
 +
913
20
 x ) +
3813
100
 =
78961
8
(
11439
50
 +
411
10
 x ) +
256553
80
 x (
11439
50
 +
411
10
 x ) +
78961
16
(
11439
50
 +
411
10
 x ) +
281
4
(2 ×
281
4
 +
913
20
 x +
281
4
)(
11439
50
 +
411
10
 x ) +
913
20
 x
    Remove a bracket on the left of the equation:
     
14538969
5000
 ×
843
2
 +
14538969
5000
 ×
913
20
 x +
522381
1000
 x (
843
2
 +
913
20
 x ) +
14538969
10000
(
843
2
 +
913
20
 x ) +
137
10
 x =
78961
8
(
11439
50
 +
411
10
 x ) +
256553
80
 x (
11439
50
 +
411
10
 x ) +
78961
16
(
11439
50
 +
411
10
 x ) +
281
4
(2 ×
281
4
 +
913
20
 x +
281
4
)(
11439
50
 +
411
10
 x ) +
913
20
 x
    Remove a bracket on the right of the equation:：
     
14538969
5000
 ×
843
2
 +
14538969
5000
 ×
913
20
 x +
522381
1000
 x (
843
2
 +
913
20
 x ) +
14538969
10000
(
843
2
 +
913
20
 x ) +
137
10
 x =
78961
8
 ×
11439
50
 +
78961
8
 ×
411
10
 x +
256553
80
 x (
11439
50
 +
411
10
 x ) +
78961
16
(
11439
50
 +
411
10
 x ) +
281
4
(2 ×
281
4
 +
913
20
 x +
281
4
)

    The solution of the equation:
        x1≈-9.233297 , keep 6 decimal places
        x2≈-5.209554 , keep 6 decimal places
        x3≈-1.385690 , 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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